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Math. 83, 765–775 (2006)\nGalenko, P.K., Elder, K.R.: Marginal stability analysis of the phase field crystal model in one spatial dimension. Phys. Rev. B 83, 064113 (2011)\nGaul, L., Schanz, M.: BEM formulation in time domain for viscoelastic media based on analytical time integration. In: Brebbia, C., Dominguez, J., Paris, F. (eds.) Boundary Elements XIV, vol. II, pp. 223–234. Computational Mechanics Publications, Southampton (1992)\nHristov, J.: A note on the integral approach to the nonlinear heat conduction with Jeffrey’s fading memory. Therm. Sci. 17, 733–737 (2013)\nKhuri, S.A., Sayfy, A.: A numerical approach for solving an extended Fisher–Kolmogorov–Petrovskii–Piskunov equation. J. Comput. App. Math. 233, 2081–2089 (2010)\nLubisch, C.: Convolution quadrature and discretized operational calculus. Numer. Math. 52, 129–145 (1988)\nMendez, V., Campos, D.: Population extinction and survival in a hostile environment. Phys. Rev. E 77, 022901 (2008)\nOnyejekwe, O.O.: A Green element solution of the diffusion equation. In: 34th Heat Transfer and Fluid Mechanics Institute California State University Sacramento California, pp. 77–98 (1995)\nOnyejekwe, O.O.: A Green element description of mass transfer in reacting systems. Numer. Heat Transf. B 30, 483–498 (1996)\nOnyejekwe, O.O.: Green element solutions of nonlinear diffusion–reaction model. Comput. Chem. Eng. 26, 423–427 (2002)\nOnyejekwe, O.O.: A note on Green element method discretization for Poisson equation in polar coordinate. Appl. Math. Lett. 19(8), 785–788 (2006)\nOnyejekwe, O.O.: The effect of time stepping schemes on the accuracy of Green element formulation of unsteady transport. J. Appl. Math. Phys. 2, 621–633 (2014)\nSchanz, M., Antes, H.: Application of operation quadrature methods in time domain boundary element methods. 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Eng. 5, 138–148 (1986)",{"EN":97},"Integro-partial differential equations, though very challenging can still be solved using conventional numerical techniques. Although these problems have been severally solved, it is still noticeable how little has been said about them in boundary element method (BEM) literature. A major reason for this is that for those problems where an encounter with the problem domain becomes a necessity, BEM’s inadequacies become highly apparent. Moreover for such situations, the fundamental solution is either not available in a cheaply computable form or a considerable numerical effort is required to handle this numerical challenge. Sometimes, the fundamental solutions may exist in a form that is highly non-local and lead to system of equations with a fully populated matrix that is cumbersome to handle numerically, especially for field problems. In the work reported herein, we adopt a fundamental solution of an auxiliary form of a governing partial differential equation coupled with the Green’s identity to discretize and localize an integro-partial differential transport equation by conversion into a boundary-domain form which is amenable to a hybrid boundary integral numerical formulation. It is observed that this numerical formulation is straightforward and yields accurate results when compared with those found in literature.",{"EN":99},"Localized Boundary-Domain Integro-partial Differential Formulations for Transient Scalar Transport Problems",{"VOID":101},"10.1007\u002Fs40819-016-0235-y","PUBLICATION","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs40819-016-0235-y",[105],{"id":106,"sortIndex":21,"researcher":20,"roles":107,"affiliations":109,"properties":118},"29447ed4-c43d-4ff5-81d8-ff1b99efb6dd",[108],"AUTHOR",[110],{"id":20,"sortIndex":21,"affiliation":111,"properties":20},{"id":112,"createTime":113,"updateTime":113,"relativeEntities":114,"slug":20,"properties":115,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"8d390cc7-9d7c-449a-a044-bb97440ab4a6","2024-01-13T23:59:06.009+00:00",[],{"title":116},{"VI":117},"Computational Science Program, Addis Ababa University, Arat Kilo campus, Addis Ababa, Ethiopia",{"title":119},{"VI":120},"Okey Oseloka Onyejekwe","ARTICLE",{"url":103,"publisher":123,"properties":144},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":124,"slug":10,"properties":125,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":129,"manageAffiliations":130,"indexDatabases":131,"url":74,"thumbnailPath":20,"statistic":139,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":126,"eissn":127,"title":128},{"VOID":13},{"VOID":15},{"EN":17},[],[],[132],{"id":55,"indexDatabase":133,"url":68,"indexYears":69,"academicFieldIds":138,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":134,"label":135,"description":136,"key":65,"publicationTags":137,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":140,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":141,"totalCitation":21,"totalCitationByYear":142,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":143,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":145,"pages":147},{"VOID":146},"3",{"VOID":148},"2189-2204","2016-08-31",2016,false,{"id":153,"createTime":154,"updateTime":155,"relativeEntities":156,"slug":157,"properties":158,"entityType":102,"verifyStatus":169,"verifyTime":155,"verifyNote":170,"syncStatus":19,"languages":171,"translateLanguages":20,"viewCount":21,"primaryUrl":173,"fullTextUrl":20,"authors":174,"publicationType":121,"publisherRelationship":210,"citationCount":21,"citationInfo":232,"publishDate":234,"publishYear":235,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":236,"isForceReanalyzing":151},"06e93b6e-c39c-4abe-b382-853a1d966f45","2024-04-15T22:51:28.357+00:00","2025-02-23T23:57:32.411+00:00",[],"A-Note-on-the-exp-varphi-z-Expansion-Method",{"mag":159,"keywords":161,"openalex":162,"abstract":164,"title":165,"doi":167},{"VOID":160},"3015422426",{},{"VOID":163},"W3015422426",{},{"EN":166},"A Note on the $$\\exp (-\\varphi (z))$$ Expansion Method",{"VOID":168},"10.1007\u002Fs40819-020-00809-2","VERIFIED","Auto Verify",[172],"EN","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs40819-020-00809-2",[175,194],{"id":176,"sortIndex":79,"researcher":20,"roles":177,"affiliations":178,"properties":187},"bec41937-13fa-4fea-b8c5-e6b5ac9d1fa3",[],[179],{"id":20,"sortIndex":21,"affiliation":180,"properties":20},{"id":181,"createTime":182,"updateTime":182,"relativeEntities":183,"slug":20,"properties":184,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"abac243e-93bf-473b-b851-25aec72d54bc","2023-12-12T08:18:15.367+00:00",[],{"title":185},{"VI":186},"Mathematics and Engineering physics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt",{"openalex":188,"orcid":190,"title":192},{"VOID":189},"A5020588577",{"VOID":191},"https:\u002F\u002Forcid.org\u002F0000-0002-9658-1430",{"EN":193},"A. 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Optik 139, 72–76 (2017)",{"doi":270},"10.1016\u002Fj.ijleo.2017.03.078",{"id":20,"text":272,"url":20,"identifiers":273},"Mirzazadeh, M., Ekici, M., Zhou, Q., Sonmezoglu, A.: Analytical study of solitons in the ber waveguide with power law nonlinearity. Superlattices Microstruct. 101, 493–506 (2017)",{"doi":274},"10.1016\u002Fj.spmi.2016.12.003",{"id":20,"text":276,"url":20,"identifiers":277},"Raza, N., Abdullah, M., Butt, A.R.: Analytical soliton solutions of Biswas–Milovic equation in Kerr and non-Kerr law media. Optik 157, 993–1002 (2018)",{"doi":278},"10.1016\u002Fj.ijleo.2017.11.043",{"id":20,"text":280,"url":20,"identifiers":281},"Abdel Latif, M.S.: Some exact solutions of KdV equation with variable coefficients. Commun. Nonlinear Sci. Numer. Simul. 16, 1783–1786 (2011)",{"doi":282},"10.1016\u002Fj.cnsns.2010.07.023",{"id":20,"text":284,"url":20,"identifiers":285},"Zaitsev, V.F., Polyanin, A.D.: Handbook of Exact Solutions for Ordinary Differential Equations. CRC Press, Boca Raton (2002)",{"doi":286},"10.1201\u002F9781420035339",{"id":20,"text":288,"url":20,"identifiers":289},"Abdel Latif, M.S., Abdel Kader, A.H.: Comment on: ’Exact solutions of the generalized (2+1)-dimensional nonlinear evolution equations via the modified simple equation method, [Comput. Math. Appl. 69(5), 390–397 (2015)], Comput. Math. 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J. Math. Phys. 10(11), 2020–2024 (1969)\nBains, A.S., Tribeche, M., Gill, T.S.: Modulational instability of ion-acoustic waves in a plasma with aqnonextensive electron velocity distribution. Phys. Plasmas 18(2), 022108 (2011)\nBeskin, V.S., Gurevich, A.V., Istomin, J.N., Istomin, Y.N., Istomin, Y.N., et al.: Physics of the Pulsar Magnetosphere. Cambridge University Press, Cambridge (1993)\nChatterjee, P., Saha, T., Ryu, C.M.: Obliquely propagating ion acoustic solitary waves and double layers in a magnetized dusty plasma with anisotropic ion pressure. Phys. Plasmas 15(12), 123702 (2008)\nChowdhury, S., Mandi, L., Chatterjee, P.: Effect of externally applied periodic force on ion acoustic waves in superthermal plasmas. Phys. Plasmas 25(4), 042112 (2018)\nDas, T.K., Ali, R., Chatterjee, P.: Effect of dust ion collision on dust ion acoustic waves in the framework of damped Zakharov–Kuznetsov equation in presence of external periodic force. Phys. Plasmas 24(10), 103703 (2017)\nGibbons, G.W., Hawking, S.W., Siklos, S.T.C.: The Very Early Universe: Proceedings of the Nuffeld Workshop, Cambridge 21 June to 9 July, (1982) CUP Archive (1985)\nGoldreich, P., Julian, W.H.: Pulsar electrodynamics. Astrophys. J. 157, 869 (1969)\nGuo, M., Chen, F., Zhang, Y.Y., Liu, J., Yang, H.: Study of ion-acoustic solitary waves in a magnetized plasma using the three-dimensional time-space fractional Schamel-KdV equation. Complexity 2018, 6852548 (2018)\nHaas, F., Mahmood, S.: Linear and nonlinear ion-acoustic waves in nonrelativistic quantum plasmas with arbitrary degeneracy. Phys. Rev. E 92(5), 053112 (2015)\nHanssen, E.T., Emslie, A.G.: The Physics of Solar Flares, vol. 14. Cambridge University Press, Cambridge (1988)\nIkezi, H., Taylor, R.J., Baker, D.R.: Formation and interaction of ion-acoustic solitions. Phys. Rev. Lett. 25(1), 11 (1970)\nInfeld, E., Rowlands, G.: Nonlinear Waves, Solitons and Chaos. Cambridge University Press, Cambridge (2000)\nJeffrey, A., Kawahara, T.: Asymptotic Methods in Nonlinear Wave Theory. Applicable Mathematics Series. Pitman, Boston (1982)\nKakutani, T., Ono, H., Taniuti, T., Wei, C.C.: Reductive perturbation method in nonlinear wave propagation II. Application to hydromagnetic waves in cold plasma. J. Phys. Soc. Jpn. 24(5), 1159–1166 (1968)\nKaniadakis, G.: Non-linear kinetics underlying generalized statistics. Phys. A Stat. Mech. Appl. 296(3–4), 405–425 (2001)\nLeontovich, M.A., Seehafer, N.: Book-review-reviews of plasma physics-V. 9. Astron. Nachr. 312, 44 (1991)\nMamun, A.A.: Arbitrary amplitude dust-acoustic solitary structures in a three-component dusty plasma. Astrophys. Space Sci. 268(4), 443–454 (1999)\nMamun, A.A., Shukla, P.K.: Comment on oscillating two-stream instability in ionospheric heating experiments. Phys. Plasmas 9(8), 3639–3640 (2002)\nMamun, A.A., Shukla, P.K.: Linear and nonlinear dust-hydromagnetic waves. Phys. Plasmas 10(11), 4341–4349, 329 (2003)\nMelandso, F.: Lattice waves in dust plasma crystals. Phys. Plasmas 3(11), 3890–3901 (1996)\nMerlino, R.L., Barkan, A., Thompson, C., D’angelo, N.: Laboratory studies of waves and instabilities in dusty plasmas. Phys. Plasmas 5(5), 1607–1614 (1998)\nMichel, F.C.: Theory of pulsar magnetospheres. Rev. Modern Phys. 54(1), 1 (1982)\nMiller, H.R., Wiita, P.J.: Active galactic nuclei, vol. 30 (1988)\nMondal, K.K., Roy, A., Chatterjee, P., Raut, S.: Propagation of ion-acoustic solitary waves for damped forced Zakharov–Kuznetsov equation in a relativistic rotating magnetized electron-positron-ion plasma. Int. J. Appl. Comput. Math. 6, 55 (2020)\nPakzad, H.R.: Solitary waves of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two temperature ion and nonthermal electron. Chaos Solitons Fractals 42(2), 874–879 (2009)\nPakzad, H.R.: Soliton energy of the Kadomtsev–Petviashvili equation in warm dusty plasma with variable dust charge, two-temperature ions, and nonthermal electrons. Astrophys. Space Sci. 326(1), 69–75 (2010)\nRao, N.N., Shukla, P.K., Yu, M.Y.: Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38(4), 543–546 (1990)\nRenyi, A.: On a new axiomatic theory of probability. Acta Math. Acad. Sci. Hung. 6(3–346 4), 285–335 (1955)\nSabry, R., Moslem, W.M., Shukla, P.K.: Fully nonlinear ion-acoustic solitary waves in a plasma with positive negative ions and nonthermal electrons. Phys. Plasmas 16(3), 032302 (2009)\nSahu, B.: Ion acoustic solitary waves and double layers with nonextensive electrons and thermal positrons. Phys. Plasmas 18(8), 082302 (2011)\nSeadawy, A.R.: Approximation solutions of derivative nonlinear Schrodinger equation with computational applications by variational method. Eur. Phys. J. Plus 130(9), 182 (2015)\nSen, A., Tiwari, S., Mishra, S., Kaw, P.: Nonlinear wave excitations by orbiting charged space debris objects. Adv. Space Res. 56(3), 429–435 (2015)\nShalini, Saini, N.S.: Ion acoustic solitary waves and double layers in a plasma with two temperature electrons featuring Tsallis distribution. Phys. Plasmas 21(10), 102901 (2014)\nShewy, E.E., Maaty, M.A.E., Abdelwahed, H.G., Elmessary, M.A.: Solitary solution and energy for the Kadomtsev–Petviashvili equation in two temperatures charged dusty grains. Astrophys. Space Sci. 332(1), 179–186 (2011)\nShukla, P.K., Silin, V.P.: Dust ion-acoustic wave. Phys. Scr. 45(5), 508 (1992)\nShukla, P.K., Yu, M.Y., Bharuthram, R.: Linear and nonlinear dust drift waves. J. Geophys. Res. Space Phys. 96(A12), 21343–21346 (1991)\nTagare, S.G.: Effect of ion temperature on propagation of ion-acoustic solitary waves of small amplitudes in collisionless plasma. Plasma Phys. 15(12), 1247 (1973)\nTaibany, W.E., Tribeche, M.: Nonlinear ion-acoustic solitary waves in electronegative plasmas with electrons featuring Tsallis distribution. Phys. Plasmas 19(2), 024507 (2012)\nTappert, F., et al.: Improved Korteweg–de Vries equation for ion-acoustic waves (1972)\nTribeche, M., Djebarni, L., Amour, R.: Ion-acoustic solitary waves in a plasma with a \\(q\\)-nonextensive electron velocity distribution. Phys. Plasmas 17(4), 042114 (2010)\nTsallis, C.: Possible generalization of Boltzmann–Gibbs statistics. J. Stat. Phys. 52(1), 479–487 (1988)\nUllah, G., Saleem, M., Khan, M., Khalid, M., Rahman, A., Nabi, S.: Ion acoustic solitary waves in magnetized electron positronion plasmas with Tsallis distributed electrons. Contrib. Plasma Phys. 60(10), e202000068 (2020)\nWeinberg, S., Dicke, R.H.: Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. Wiley, New York (1973)\nXiao, Z.J., Ling, G.B.: Analytic solutions to forced KdV equation. Commun. Theor. Phys. 52(2), 279 (2009)",{"EN":300},"Reductive perturbation method (RPM) is used to obtain damped forced Kadomtsev–Petviashvili (DFKP) equation for the ion acoustic waves (IAWs) in a magnetized dusty plasma comprising electrons abiding by q-nonextensive velocity distribution, in the presence of external periodic force along with a damping term. A nonstationary solitary wave solution of IAW under the influence of forcing and damping term is derived through the framework of KP equation. The influence of various plasma parameters such as electron velocity distribution parameter (q), collisional frequency (\n                \n                  \n                \n                $$\\nu _{id0}$$\n                \n              ), initial wave velocity (\n                \n                  \n                \n                $$M_0$$\n                \n              ), external periodic forcing term (\n                \n                  \n                \n                $$f_0$$\n                \n              ) and periodicity of external force (\n                \n                  \n                \n                $$\\omega $$\n                \n              ) etc. on solitary wave structures are studied from a numerical standpoint. Significant effects in the variation of width and amplitude of the soliton are observed due to the change of the parameters \n                \n                  \n                \n                $$f_0$$\n                \n              , M and \n                \n                  \n                \n                $$\\omega $$\n                \n              . It is found that there is a parametric regime of \n                \n                  \n                \n                $$f_0$$\n                \n               for which the solitary structure exists in the form of a Gaussian pulse and beyond a cut-off value of \n                \n                  \n                \n                $$f_0$$\n                \n              , the solitary structure collapses.\n",{"EN":302},"Non-stationary Solitary Wave Solution for Damped Forced Kadomtsev–Petviashvili Equation in a Magnetized Dusty Plasma with q-Nonextensive Velocity Distributed Electron",{"VOID":304},"10.1007\u002Fs40819-021-01168-2","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs40819-021-01168-2",[307,322,338,353,368],{"id":308,"sortIndex":50,"researcher":20,"roles":309,"affiliations":310,"properties":319},"8d98bc16-0499-423e-8703-8fe5b55b015c",[108],[311],{"id":20,"sortIndex":21,"affiliation":312,"properties":20},{"id":313,"createTime":314,"updateTime":314,"relativeEntities":315,"slug":20,"properties":316,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"2f50e989-7773-481c-b136-dd666b2e7c70","2024-01-20T11:16:46.141+00:00",[],{"title":317},{"VI":318},"Department of Mathematics, School of Physical Sciences, DIT University, Dehradun, India",{"title":320},{"VI":321},"Naresh M. Chadha",{"id":323,"sortIndex":21,"researcher":20,"roles":324,"affiliations":325,"properties":335},"bbff0d54-012d-449c-9cf2-66aaca7fe499",[108],[326],{"id":20,"sortIndex":21,"affiliation":327,"properties":20},{"id":328,"createTime":329,"updateTime":329,"relativeEntities":330,"slug":331,"properties":332,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"bd5a613e-ac90-48ef-8600-d480d7ed936d","2024-04-07T10:18:21.741+00:00",[],"Department-of-Mathematics-Mathabhanga-College-Cooch-Behar-India",{"title":333},{"VI":334},"Department of Mathematics, Mathabhanga College, Cooch Behar, India",{"title":336},{"VI":337},"Santanu Raut",{"id":339,"sortIndex":81,"researcher":20,"roles":340,"affiliations":341,"properties":350},"6953886e-4336-4079-ab05-4a2e6dbd858a",[108],[342],{"id":20,"sortIndex":21,"affiliation":343,"properties":20},{"id":344,"createTime":345,"updateTime":345,"relativeEntities":346,"slug":20,"properties":347,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"ae8db803-e8bd-4981-90f9-0b71871c9388","2023-12-27T08:10:47.582+00:00",[],{"title":348},{"VI":349},"Department of Mathematics, Cooch Behar Panchanan Barma University, Cooch Behar, India",{"title":351},{"VI":352},"Kajal Kumar Mondal",{"id":354,"sortIndex":80,"researcher":20,"roles":355,"affiliations":356,"properties":365},"9b07667b-c21c-49bc-bf4f-c9c7961bba0f",[108],[357],{"id":20,"sortIndex":21,"affiliation":358,"properties":20},{"id":359,"createTime":360,"updateTime":360,"relativeEntities":361,"slug":20,"properties":362,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"d9f152a1-42e5-4159-bcf3-cba57c73f230","2023-12-13T07:11:44.178+00:00",[],{"title":363},{"VI":364},"Department of Mathematics, Siksha Bhavana Visva Bharati, Santiniketan, India",{"title":366},{"VI":367},"Prasanta Chatterjee",{"id":369,"sortIndex":79,"researcher":20,"roles":370,"affiliations":371,"properties":380},"9338bc38-78c4-4576-bc80-a3fc6cbb8bc7",[108],[372],{"id":20,"sortIndex":21,"affiliation":373,"properties":20},{"id":374,"createTime":375,"updateTime":375,"relativeEntities":376,"slug":20,"properties":377,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"8ebfa176-d3c0-4380-8074-036065bc7d6b","2024-01-20T11:16:46.089+00:00",[],{"title":378},{"VI":379},"Department of Mathematics, Alipurduar College, Alipurduar, India",{"title":381},{"VI":382},"Ashim Roy",{"url":305,"publisher":384,"properties":405},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":385,"slug":10,"properties":386,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":390,"manageAffiliations":391,"indexDatabases":392,"url":74,"thumbnailPath":20,"statistic":400,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":387,"eissn":388,"title":389},{"VOID":13},{"VOID":15},{"EN":17},[],[],[393],{"id":55,"indexDatabase":394,"url":68,"indexYears":69,"academicFieldIds":399,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":395,"label":396,"description":397,"key":65,"publicationTags":398,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":401,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":402,"totalCitation":21,"totalCitationByYear":403,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":404,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":406,"pages":408},{"VOID":407},"7",{"VOID":409},"1-20","2021-11-01",2021,{"id":413,"createTime":414,"updateTime":414,"relativeEntities":415,"slug":416,"properties":417,"entityType":102,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":426,"fullTextUrl":20,"authors":427,"publicationType":121,"publisherRelationship":489,"citationCount":20,"citationInfo":20,"publishDate":516,"publishYear":517,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":20,"isForceReanalyzing":151},"ccfea375-cf49-4351-be30-e174b34896e7","2023-11-25T23:56:52.937+00:00",[],"Flexible-Setup-Cost-and-Deterioration-of-Products-in-a-Supply-Chain-Model",{"references":418,"abstract":420,"title":422,"doi":424},{"VOID":419},"Cárdenas-Barrón, L.E., Treviño-Garza, G.: An optimal solution to a three echelon supply chain network with multi-product and multi-period. Appl. Math. Model. 38, 1911–1918 (2014)\nChung, K.J., Cárdenas-Barrón, L.E., Ting, P.S.: An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit. Math. Comput. Model. 155, 310–317 (2014)\nTaleizadeh, A.A., Cárdenas-Barrón, L.E.: Metaheuristic algorithms for supply chain management problems. Meta-heu. Optim. Algorithm Eng. Bus. Econ. Financ. (2013). doi:10.4018\u002F978-1-4666-2625-6.ch106\nGoyal, S.K.: An integrated inventory model for a single supplier-single customer problem. Int. J. Prod. Res. 15, 107–111 (1976)\nBanerjee, A.: A joint economic-lot-size model for purchaser and vendor. Decis. Sci. 17, 292–311 (1986)\nHill, R.M.: The single-vendor single-buyer integrated production-inventory model with a generalised policy. Eur. J. Oper. Res. 97, 493–499 (1997)\nViswanathan, S., Piplani, R.: Coordinating supply chain inventory through common replenishment epochs. Eur. J. Oper. Res. 129, 277–286 (2001)\nYang, P.C., Wee, H.M.: The economic lot size of the integrated vendor-buyer inventory system derived without derivatives. Optim. Cont. Appl. Methods 23, 163–169 (2002)\nSarkar, B., Majumder, A.: Integrated vendor buyer supply chain model with vendors setup cost reduction. Appl. Math. Comput. 224, 362–371 (2013)\nSarkar, B., Chaudhuri, K., Moon, I.: Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint. J. Manuf. Syst. 34, 74–82 (2015)\nSarkar, B., Mandal, B., Sarkar, S.: Quality improvement and backorder price discount under controllable lead time in an inventory model. J. Manuf. Syst. 35, 26–36 (2015)\nKim, S.L., Ha, D.: A JIT lot-splitting model for supply chain management: enhancing buyer-supplier linkage. Int. J. Prod. Econ. 86, 1–10 (2002)\nKhouja, M.: Optimizing inventory decisions in a multi-stage multi-customer supply chain. Trans. Res. Part E 39, 193–208 (2003)\nCárdenas-Barrón, L.E.: Optimizing inventory decisions in a multi-stage multi-customer supply chain: a note. Trans. Res. Part E 43, 647–654 (2007)\nCárdenas-Barrón, L.E.: Optimal manufacturing batch size with rework in a single-stage production system—a simple derivation. Comput. Ind. Eng. 55, 758–765 (2008)\nCárdenas-Barrón, L.E.: The derivation of EOQ\u002FEPQ inventory models with two backorders costs using analytic geometry and algebra. Appl. Math. Model. 35, 2394–2407 (2011)\nYan, C., Banerjee, A., Yang, L.: An integrated production-distribution model for a deteriorating inventory item. Int. J. Prod. Econ. 133, 228–232 (2011)\nWidyadana, G.A., Wee, H.M.: An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown. Int. J. Syst. Sci. 2, 1–13 (2011)\nTeng, J.T., Cárdenas-Barrón, L.E., Lou, K.R.: The economic lotsize of the integrated vendor-buyer inventory system derived without derivatives: a simple derivation. Appl. Math. Comput. 217, 5972–5977 (2011)\nTeng, J.T., Cárdenas-Barrón, L.E., Lou, K.R., Wee, H.M.: Optimal economic order quantity for buyer-distributor-vendor supply chain with backlogging without derivatives. Int. J. Syst. Sci. 44, 986–994 (2011)\nChung, K.J., Cárdenas-Barrón, L.E.: The complete solution procedure for the EOQ and EPQ inventory models with linear and fixed backorder costs. Math. Comput. Model. 55, 2151–2156 (2012)\nSett, B.K., Sarkar, B., Goswami, A.: A two-warehouse inventory model with increasing demand and time varying deterioration. Sci. Iran. 19, 1969–1977 (2012)\nSarkar, B., Saren, S.: Partial trade-credit policy of retailer with exponentially deteriorating items. I. J. Appl. Comput. Math. (2014). doi:10.1007\u002Fs40819-014-0019-1\nSarkar, B., Saren, S., Cárdenas-Barrón, L.E.: An inventory model with trade-credit policy and variable deterioration for fixed lifetime products. Ann. Oper. Res. (2014). doi:10.1007\u002Fs10479-014-1745-9\nGhare, P.M., Schrader, G.F.: A model for exponentially decaying inventory. J. Ind. Eng. 14, 238–243 (1963)\nCovert, R.P., Philip, G.C.: An EOQ model for items with Weibull distribution deterioration. AIIE Trans. 5, 323–326 (1973)\nMisra, R.B.: Optimal production lotsize model for a system with deteriorating inventory. Int. J. Prod. Res. 13, 495–505 (1975)\nGoyal, S.K.: Economic ordering policy for deteriorating items over an infinite time horizon. Eur. J. Oper. Res. 28, 298–301 (1987)\nDutta, T.K., Pal, A.K.: Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian J. Pure Appl. Math. 19, 1043–1053 (1988)\nRaafat, F.: Survey of literature on continuously deteriorating inventory model. J. Oper. Res. Soc. 42, 27–37 (1991)\nChang, H.J., Dye, C.Y.: An EOQ model for deteriorating items with time varying demand and partial backlogging. J. Oper. Res. Soc. 50, 1176–1182 (1999)\nSkouri, K., Papachristos, S.: Four inventory models for deteriorating items with time varying demand and partial backlogging: a cost comparison. Optim. Cont. Appl. Methods 24, 315–330 (2003)\nSkouri, K., Konstantaras, I., Papachristos, S., Ganas, I.: Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate. Euro. J. Oper. Res. 192, 79–92 (2009)\nSarkar, B.: An EOQ model with delay in payments and time varying deterioration rate. Math. Comput. Model. 55, 367–377 (2012)\nSarkar, B., Saren, S., Wee, H.M.: An inventory model with variable demand, component cost and selling price for deteriorating items. Econ. Model. 30, 306–310 (2013)\nSarkar, B., Sarkar, S.: An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Econ. Model. 30, 924–932 (2013)\nSarkar, B., Sarkar, S.: Variable deterioration and demand—an inventory model. Econ. Model. 31, 548–556 (2013)\nSarkar, M., Sarkar, B.: An economic manufacturing quantity model with probabilistic deterioration in a production system. Econ. Model. 31, 245–252 (2013)\nSarkar, B., Sana, S.S., Chaudhuri, K.: Optimal reliability, production lotsize and safety stock: an economic manufacturing quantity model. Int. J. Manag. Sci. Eng. Manag. 5, 192–202 (2010)\nSarkar, B.: An inventory model with reliability in an imperfect production process. Appl. Math. Comput. 218, 4881–4891 (2012)\nSarkar, B., Mandal, P., Sarkar, S.: An EMQ model with price and time dependent demand under the effect of reliability and inflation. Appl. Math. Comput. 231, 414–421 (2014)\nSarkar, B.: A production-inventory model with probabilistic deterioration in two-echelon supply chain management. Appl. Math. Model. 37, 3138–3151 (2013)",{"EN":421},"Product reliability is of significant importance in today’s technological world. People rely more and more upon the sustained functioning of machinery and complex equipments for purposes such as health, economic welfare, safety, to name just a few. Thus, in a business arena, it is critical to assess the reliability of new products. In this model, a two echelon supply chain model with variable setup cost and deterioration cost are analyzed. The setup cost is directly proportional and the deterioration rate is inversely proportional to reliability. Algebraical procedure has been employed to obtain the optimal solution of this model. The objective is to minimize the total cost of the entire system by considering reliability as a decision variable. Some numerical examples, sensitivity analysis, and graphical representations are considered to illustrate the model.",{"EN":423},"Flexible Setup Cost and Deterioration of Products in a Supply Chain Model",{"VOID":425},"10.1007\u002Fs40819-015-0045-7","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs40819-015-0045-7",[428,444,459,474],{"id":429,"sortIndex":21,"researcher":20,"roles":430,"affiliations":431,"properties":441},"8290913a-5043-46f8-8dcd-616aec541128",[108],[432],{"id":20,"sortIndex":21,"affiliation":433,"properties":20},{"id":434,"createTime":435,"updateTime":435,"relativeEntities":436,"slug":437,"properties":438,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"237f702f-6da7-4db6-8d00-2e924239fb7b","2023-11-25T23:56:52.947+00:00",[],"Department-of-Industrial-Management-Engineering-Hanyang-University-Ansan-Gyeonggi-do-South-Korea",{"title":439},{"VI":440},"Department of Industrial & Management Engineering, Hanyang University, Ansan Gyeonggi-do, South Korea",{"title":442},{"VI":443},"Biswajit Sarkar",{"id":445,"sortIndex":80,"researcher":20,"roles":446,"affiliations":447,"properties":456},"99e36a4c-4179-4251-9e5e-eb4b3009c36e",[108],[448],{"id":20,"sortIndex":21,"affiliation":449,"properties":20},{"id":450,"createTime":451,"updateTime":451,"relativeEntities":452,"slug":20,"properties":453,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"59db7b52-8c34-4d0c-8e05-9027f2c5e47b","2024-01-08T12:15:06.502+00:00",[],{"title":454},{"VI":455},"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India",{"title":457},{"VI":458},"Adrijit Goswami",{"id":460,"sortIndex":81,"researcher":20,"roles":461,"affiliations":462,"properties":471},"e2d7a10f-f02a-465b-b5f9-bc27a2cac287",[108],[463],{"id":20,"sortIndex":21,"affiliation":464,"properties":20},{"id":465,"createTime":466,"updateTime":466,"relativeEntities":467,"slug":20,"properties":468,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"b15a62de-471c-4ba4-a8f0-3c78a00af18c","2024-01-05T23:22:36.172+00:00",[],{"title":469},{"VI":470},"Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India",{"title":472},{"VI":473},"Gargi Roy",{"id":475,"sortIndex":79,"researcher":20,"roles":476,"affiliations":477,"properties":486},"5cc7e0db-dfc0-454a-a1d4-75d72068b3d1",[108],[478],{"id":20,"sortIndex":21,"affiliation":479,"properties":20},{"id":480,"createTime":481,"updateTime":481,"relativeEntities":482,"slug":20,"properties":483,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"89a5ab62-dde3-4def-9ea4-46eb3f8ea094","2024-01-29T15:21:14.270+00:00",[],{"title":484},{"VI":485},"Department of Mathematics, Hooghly Mohsin College Chinsurah, Hooghly, India",{"title":487},{"VI":488},"Bimal Kumar Sett",{"url":426,"publisher":490,"properties":511},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":491,"slug":10,"properties":492,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":496,"manageAffiliations":497,"indexDatabases":498,"url":74,"thumbnailPath":20,"statistic":506,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":493,"eissn":494,"title":495},{"VOID":13},{"VOID":15},{"EN":17},[],[],[499],{"id":55,"indexDatabase":500,"url":68,"indexYears":69,"academicFieldIds":505,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":501,"label":502,"description":503,"key":65,"publicationTags":504,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":507,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":508,"totalCitation":21,"totalCitationByYear":509,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":510,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":512,"pages":514},{"VOID":513},"2",{"VOID":515},"25-40","2015-03-31",2015,{"id":519,"createTime":520,"updateTime":521,"relativeEntities":522,"slug":523,"properties":524,"entityType":102,"verifyStatus":169,"verifyTime":521,"verifyNote":170,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":533,"fullTextUrl":20,"authors":534,"publicationType":121,"publisherRelationship":605,"citationCount":20,"citationInfo":20,"publishDate":631,"publishYear":411,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":20,"isForceReanalyzing":151},"e724a078-41f7-443f-a64b-36da7d849389","2023-11-30T21:51:32.887+00:00","2025-02-01T23:55:51.327+00:00",[],"Computational-Investigation-of-Stefan-Blowing-Effect-on-Flow-of-Second-Grade-Fluid-Over-a-Curved-Stretching-Sheet",{"references":525,"abstract":527,"title":529,"doi":531},{"VOID":526},"Hayat, T., Ahmad, S., Khan, M.I., Alsaedi, A.: Non-Darcy Forchheimer flow of ferromagnetic second grade fluid. 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Appl. 553, 124231 (2020). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.physa.2020.124231\nBasir, Md.FMd., Uddin, M.J., Bég, O.A., Ismail, A.IMd.: Influence of Stefan blowing on nanofluid flow submerged in microorganisms with leading edge accretion or ablation. J. Braz. Soc. Mech. Sci. Eng. 39(11), 4519–4532 (2017). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs40430-017-0877-7\nAlamri, S.Z., Ellahi, R., Shehzad, N., Zeeshan, A.: Convective radiative plane Poiseuille flow of nanofluid through porous medium with slip: an application of Stefan blowing. J. Mol. Liq. 273, 292–304 (2019). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.molliq.2018.10.038\nAmirsom, N.A., Uddin, M.J., Ismail, A.IMd..: MHD boundary layer bionano convective non-Newtonian flow past a needle with Stefan blowing: Amirsom et al. Heat Transf. Asian Res. 48(2), 727–743 (2019). https:\u002F\u002Fdoi.org\u002F10.1002\u002Fhtj.21403\nAli, B., Hussain, S., Abdal, S., Mehdi, M.M.: Impact of Stefan blowing on thermal radiation and Cattaneo–Christov characteristics for nanofluid flow containing microorganisms with ablation\u002Faccretion of leading edge: FEM approach. Eur. Phys. J. Plus 135(10), 821 (2020). https:\u002F\u002Fdoi.org\u002F10.1140\u002Fepjp\u002Fs13360-020-00711-2\nLund, L.A., Omar, Z., Raza, J., Khan, I., Sherif, E.-S.M.: Effects of Stefan blowing and slip conditions on unsteady MHD Casson nanofluid flow over an unsteady shrinking sheet: dual solutions. Symmetry 12(3), 487 (2020)\nSakiadis, B.C.: Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface. AIChE J. 7(2), 221–225 (1961). https:\u002F\u002Fdoi.org\u002F10.1002\u002Faic.690070211\nCrane, L.J.: Flow past a stretching plate. Z. Angew. Math. Phys. 21(4), 645–647 (1970). https:\u002F\u002Fdoi.org\u002F10.1007\u002FBF01587695\nQayyum, S., Hayat, T., Alsaedi, A.: Optimization of entropy generation in motion of magnetite–Fe3O4 nanoparticles due to curved stretching sheet of variable thickness. Int. J. Numer. Methods Heat Fluid Flow 29(9), 3347–3365 (2019). https:\u002F\u002Fdoi.org\u002F10.1108\u002FHFF-12-2018-0782\nHayat, T., Qayyum, S., Alsaedi, A., Ahmad, B.: Entropy generation minimization: Darcy–Forchheimer nanofluid flow due to curved stretching sheet with partial slip. Int. Commun. Heat Mass Transf. 111, 104445 (2020). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.icheatmasstransfer.2019.104445\nPunith Gowda, R.J., Al-Mubaddel, F.S., Kumar, R.N., Prasannakumara, B.C., Issakhov, A., Gorji, M.R., Al-Turki, Y.A.: Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model. Chaos Solitons Fractals 145, 110774 (2021)\nGanga, B., Charles, S., Hakeem, A.K.A., Nadeem, S.: Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity. J. Appl. Math. Comput. Mech. 20(1), 25–36 (2021). https:\u002F\u002Fdoi.org\u002F10.17512\u002Fjamcm.2021.1.03\nIftikhar, N., Baleanu, D., Riaz, M.B., Husnine, S.M.: Heat and mass transfer of natural convective flow with slanted magnetic field via fractional operators. J. Appl. Comput. Mech. 7(1), 189–212 (2021). https:\u002F\u002Fdoi.org\u002F10.22055\u002Fjacm.2020.34930.2514\nQureshi, S., Ramos, H.: L-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Int. J. Nonlinear Sci. Numer. Simul. 19(7–8), 741–751 (2018)\nAliya, T., Shaikh, A.A., Qureshi, S.: Development of a nonlinear hybrid numerical method. Adv. Differ. Equ. Control Process. 19(3), 275–285 (2018)\nQureshi, S.: Fox H-functions as exact solutions for Caputo type mass spring damper system under Sumudu transform. J. Appl. Math. Comput. Mech. 20(1), 83–89 (2021). https:\u002F\u002Fdoi.org\u002F10.17512\u002Fjamcm.2021.1.08\nQureshi, S., Yusuf, A.: A new third order convergent numerical solver for continuous dynamical systems. J. King Saud Univ. Sci. 32(2), 1409–1416 (2020)\nBaleanu, D., Sajjadi, S.S., Jajarmi, A., Defterli, O., Asad, J.H., Tulkarm, P.: The fractional dynamics of a linear triatomic molecule. Rom. Rep. Phys. 73(1), 105 (2021)\nJajarmi, A., Baleanu, D.: A new iterative method for the numerical solution of high-order non-linear fractional boundary value problems. Front. Phys. (2020). https:\u002F\u002Fdoi.org\u002F10.3389\u002Ffphy.2020.00220\nGao, W., Ghanbari, B., Baskonus, H.M.: New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative. Chaos Solitons Fractals 128, 34–43 (2019). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.chaos.2019.07.037\nSalari, A., Ghanbari, B.: Existence and multiplicity for some boundary value problems involving Caputo and Atangana–Baleanu fractional derivatives: a variational approach. Chaos Solitons Fractals 127, 312–317 (2019). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.chaos.2019.07.022\nImtiaz, M., Mabood, F., Hayat, T., Alsaedi, A.: Homogeneous–heterogeneous reactions in MHD radiative flow of second grade fluid due to a curved stretching surface. Int. J. Heat Mass Transf. 145, 118781 (2019)\nAmjad, M., Zehra, I., Nadeem, S., Abbas, N.: Thermal analysis of Casson micropolar nanofluid flow over a permeable curved stretching surface under the stagnation region. J. Therm. Anal. Calorim. (2020). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs10973-020-10127-w\nSajid, M., Ali, N., Javed, T., Abbas, Z.: Stretching a curved surface in a viscous fluid. Chin. Phys. Lett. 27(2), 024703 (2010). https:\u002F\u002Fdoi.org\u002F10.1088\u002F0256-307X\u002F27\u002F2\u002F024703\nAbbas, Z., Naveed, M., Sajid, M.: Heat transfer analysis for stretching flow over a curved surface with magnetic field. J. Eng. Thermo Phys. 22(4), 337–345 (2013). https:\u002F\u002Fdoi.org\u002F10.1134\u002Fs1810232813040061\nBulut, H., Sulaiman, T.A., Baskonus, H.M., Akturk, T.: Complex acoustic gravity wave behaviors to some mathematical models arising in fluid dynamics and nonlinear dispersive media. Opt. Quantum Electron. 50(1), 19 (2018)\nShafiq, A., Hammouch, Z., Turab, A.: Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate. Therm. Sci. Eng. Prog. 6, 27–33 (2018)\nCattani, C.: Harmonic wavelet solutions of the Schrodinger equation. Int. J. Fluid Mech. Res. 30(5), 463–472 (2003)\nShafiq, A., Hammouch, Z., Sindhu, T.N.: Bioconvective MHD flow of tangent hyperbolic nanofluid with Newtonian heating. Int. J. Mech. 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Plus 133, 547 (2018)\nAsif, N.A., Hammouch, Z., Riaz, M.B., Bulut, H.: Analytical solution of a Maxwell fluid with slip effects in view of the Caputo–Fabrizio derivative. Eur. Phys. J. Plus 133(7), 1–13 (2018)\nYavuz, M., Bonyah, E.: New approaches to the fractional dynamics of schistosomiasis disease model. Phys. A 525, 373–393 (2019)\nEskitascioglu, E.I., Aktas, M.B., Baskonus, H.M.: New complex and hyperbolic forms for Ablowitz–Kaup–Newell–Segur wave equation with fourth order. Appl. Math. Nonlinear Sci. 4(1), 105–112 (2019)\nYang, X.J.: The vector power-law calculus with applications in power-law fluid flow. Therm. Sci. 24, 4289–4302 (2020)\nSeadawy, A., Kumar, D., Hosseini, K., Samadani, F.: The system of equations for the ion sound and Langmuir waves and its new exact solutions. Results Phys. 9, 1631–1634 (2018)\nYavuz, M.: Characterizations of two different fractional operators without singular kernel. Math. Model. Nat. Phenom. 14(3), 302 (2019)\nBaskonus, H.M., Kayan, M.: Regarding new wave distributions of the nonlinear integro-partial ITO differential and fifth-order integrable equations. Appl. Math. Nonlinear Sci. (2021). https:\u002F\u002Fdoi.org\u002F10.2478\u002Famns.2021.1.00006\nDusunceli, F.: New exact solutions for generalized (3+1) shallow water-like (SWL) equation. Appl. Math. Nonlinear Sci. 4(2), 365–370 (2019)\nFarah, N., Seadawy, A.R., Ahmad, S., Rizvi, S.T.R., Younis, M.: Interaction properties of soliton molecules and Painleve analysis for nano bioelectronics transmission model. Opt. Quantum Electron. 52, 1–15 (2020)\nBaskonus, H.M., Bulut, H., Sulaiman, T.A.: New complex hyperbolic structures to the Lonngren–Wave equation by using sine-Gordon expansion method. Appl. Math. Nonlinear Sci. 4(1), 141–150 (2019)\nYel, G., Cattani, C., Baskonus, H.M., Gao, W.: On the complex simulations with dark–bright to the Hirota–Maccari system. J. Comput. Nonlinear Dyn. 16(6), 061005 (2021)\nSoomro, F.A., Hammouch, Z.: Heat transfer analysis of CuO–water enclosed in a partially heated rhombus with heated square obstacle. Int. J. Heat Mass Transf. 118, 773–784 (2018)\nAli, A., Seadawy, A.R., Dianchen, Lu.: Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz–Kaup–Newell–Segur water wave dynamical equation via two methods and its applications. Open Phys. 16, 219–226 (2018)\nGhalib, M.M., Zafar, A.A., Riaz, M.B., Hammouch, Z., Shabbir, K.: Analytical approach for the steady MHD conjugate viscous fluid flow in a porous medium with nonsingular fractional derivative. Phys. A Stat. Mech. Appl. 554, 123941 (2020)\nTan, W., Masuoka, T.: Stokes’ first problem for a second-grade fluid in a porous half-space with heated boundary. Int. J. Non-Linear Mech. 40(4), 515–522 (2005). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.ijnonlinmec.2004.07.016\nFetecǎu, C., Fetecǎu, C., Zierep, J.: Decay of a potential vortex and propagation of a heat wave in a second-grade fluid. Int. J. Non-Linear Mech. 37(6), 1051–1056 (2002). https:\u002F\u002Fdoi.org\u002F10.1016\u002FS0020-7462(01)00028-2\nFetecau, C., Fetecau, C.: Starting solutions for some unsteady unidirectional flows of a second-grade fluid. Int. J. Eng. Sci. 43(10), 781–789 (2005). https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.ijengsci.2004.12.009",{"EN":528},"Non-Newtonian fluids have extensive range of applications in the field of industries like plastics processing, manufacturing of electronic devices, lubrication flows, medicine and medical equipment. Stimulated from these applications, a theoretical analysis is carried out to scrutinize the flow of a second-grade liquid over a curved stretching sheet with the impact of Stefan blowing condition, thermophoresis and Brownian motion. The modelled governing equations for momentum, thermal and concentration are deduced to a system of ordinary differential equations by introducing suitable similarity transformations. These reduced equations are solved using Runge–Kutta–Fehlberg fourth fifth order method (RKF-45) by adopting shooting technique. The solutions for the flow, heat and mass transference features are found numerically and presented with the help of graphical illustrations. Results reveal that, curvature and Stefan blowing parameters have propensity to rise the heat transfer. Further, second grade fluid shows high rate of mass and heat transfer features when related to Newtonian fluid for upsurge in values of Brownian motion parameter.",{"EN":530},"Computational Investigation of Stefan Blowing Effect on Flow of Second-Grade Fluid Over a Curved Stretching Sheet",{"VOID":532},"10.1007\u002Fs40819-021-01041-2","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs40819-021-01041-2",[535,552,564,581,593],{"id":536,"sortIndex":21,"researcher":20,"roles":537,"affiliations":538,"properties":549},"7b0a0a8e-fb4b-4025-816c-13b05be6c49a",[108],[539],{"id":20,"sortIndex":21,"affiliation":540,"properties":20},{"id":541,"createTime":542,"updateTime":543,"relativeEntities":544,"slug":545,"properties":546,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"0aff47b5-9814-44a9-9567-fc61217cf404","2023-11-30T21:51:32.950+00:00","2025-06-11T23:53:18.798+00:00",[],"Department-of-Studies-and-Research-in-Mathematics-Davangere-University-Davangere-India",{"title":547},{"VI":548},"Department of Studies and Research in Mathematics, Davangere University, Davangere, India",{"title":550},{"VI":551},"R. 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S.: A transient analysis of Markov fluid models with jumps. J. Korean Stat. Soc. 38, 351–366 (2009)",{"doi":815},"10.1016\u002Fj.jkss.2009.01.002",{"id":20,"text":817,"url":20,"identifiers":818},"Ahn, S., Ramaswami, V.: Transient analysis of fluid flow models via stochastic coupling to a queue. Stoch. Models 20, 71–104 (2004)",{"doi":819},"10.1081\u002FSTM-120028392",{"id":20,"text":821,"url":20,"identifiers":822},"Ahn, S., Jeon, J., Ramaswami, V.: Steady state analysis of finite fluid flow models using finite QBDs. Queueing Syst. 49, 223–259 (2005)",{"doi":823},"10.1007\u002Fs11134-005-6966-9",{"id":20,"text":825,"url":20,"identifiers":826},"Ahn, S., Badescu, A.L., Ramaswami, V.: Time dependent analysis of finite buffer fluid flows and risk models with a divident barrier. Queueing Syst. 55, 207–222 (2007)",{"doi":827},"10.1007\u002Fs11134-007-9017-x",{"id":20,"text":829,"url":20,"identifiers":830},"Anick, D., Mitra, D.D., Sondhi, M.M.: Stochastic theory of data handling system with multiple sources. Bell Syst. Tech. J. 61, 1871–1894 (1982)",{"doi":831},"10.1002\u002Fj.1538-7305.1982.tb03089.x",{"id":20,"text":833,"url":20,"identifiers":834},"Bean, N.G., O’Reilly, M.M.: Performance measures of a multi-layer Markovian fluid model. Ann. Op. Res. 160, 99–120 (2008)",{"doi":835},"10.1007\u002Fs10479-007-0299-5",{"id":20,"text":837,"url":20,"identifiers":838},"Bean, N.G., O’Reilly, M.M., Taylor, P.G.: Hitting probabilities and hitting times for stochastic fluid flows. Stoch. Process. Appl. 115, 1530–1556 (2005)",{"doi":839},"10.1016\u002Fj.spa.2005.04.002",{"id":20,"text":841,"url":20,"identifiers":842},"Bean, N.G., O’Reilly, M.M., Taylor, P.G.: Algorithms for return probabilities for stochastic fluid flows. Stoch. Models 21, 149–184 (2005)",{"doi":843},"10.1081\u002FSTM-200046511",{"id":20,"text":845,"url":20,"identifiers":846},"Bean, N.G., O’Reilly, M.M., Taylor, P.G.: Algorithms for the Laplace–Stieltjes transforms of the first return probabilities for stochastic fluid flows. Methodol. Comput. Appl. Prob. 10, 381–408 (2008)",{"doi":847},"10.1007\u002Fs11009-008-9077-3",{"id":20,"text":849,"url":20,"identifiers":850},"Bean, N.G., O’Reilly, M.M., Taylor, P.G.: Hitting probabilities and hitting times for stochastic fluid flows: the bounded model. Prob. Eng. Inf. Sci. 23, 121–47 (2009)",{"doi":851},"10.1017\u002FS0269964809000102",{"id":20,"text":853,"url":20,"identifiers":854},"Bean, N.G., O’Reilly, M.M., Ren, Y.: Second-order Markov reward models driven by QBD processes. Perform. Eval. 69, 440–455 (2012)",{"doi":855},"10.1016\u002Fj.peva.2012.05.002",{"id":20,"text":857,"url":20,"identifiers":858},"da Silva Soares, A., Latouche, G.: Further results on the similarity between fluid queues and QBDs. In G. Latouche, P. Taylor (eds.) Matrix-analytic methods: theory and applications. Singapore:World Scientific, 89–106 (2002)",{"doi":859},"10.1142\u002F9789812777164_0005",{"id":20,"text":861,"url":20,"identifiers":862},"Elwalid, A.I., Mitra, D.: Analysis and design of rate-based congestion control of high-speed networks, I: stochastic fluid models, access regulation. Queueing Syst. Theory Appl. 9, 19–64 (1991)",{"doi":863},"10.1007\u002FBF01158791",{"id":20,"text":865,"url":20,"identifiers":866},"Kulkarni, V.: Fluid models for single buffer systems. In: Dshalalow, J.H. (ed.) Frontiers in queueing, pp. 321–338. CRC Press, Boca Raton, Models and Applications in Science and Engineering (1997)",{},{"id":20,"text":868,"url":20,"identifiers":869},"Kulkarni, V., Yan, K.: A fluid model with upward jumps at the boundary. Queueing Syst. 56, 103–117 (2007)",{"doi":870},"10.1007\u002Fs11134-007-9037-6",{"id":20,"text":872,"url":20,"identifiers":873},"Mitra, D.: Stochastic theory of a fluid model of producers and consumers coupled by a buffer. Adv. Appl. Prob. 20(3), 646–676 (1988)",{"doi":874},"10.2307\u002F1427040",{"id":20,"text":876,"url":20,"identifiers":877},"Miyazawa, M., Tanada, H.: A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps. J. Appl. Prob. 39, 604–618 (2002)",{"doi":878},"10.1017\u002FS0021900200021835",{"id":20,"text":880,"url":20,"identifiers":881},"O’Reilly, M.M., Scheinhardt, W.: Stationary distributions for a class of Markov-modulated tandem fluid queues. Stoch. Models 33, 524–550 (2017)",{"doi":882},"10.1080\u002F15326349.2017.1349615",{"id":20,"text":884,"url":20,"identifiers":885},"Ramaswami, V.: Matrix analytic methods for stochastic fluid flows. In Proceedings of the 16th international teletraffic congress, 1019–1030 (1999)",{},{"id":20,"text":887,"url":20,"identifiers":888},"Simonian, A., Virtamo, J.: Transient and stationary distributions for fluid queues and input processes with a density. SIAM J. Appl. Math. 51, 1732–1739 (1991)",{"doi":889},"10.1137\u002F0151088",{"id":20,"text":891,"url":20,"identifiers":892},"Soares, A., Latouche, G.: Matrix-analytic methods for fluid queues with finite buffers. Perform. Eval. 63, 295–314 (2006)",{"doi":893},"10.1016\u002Fj.peva.2005.02.002",{"id":20,"text":895,"url":20,"identifiers":896},"Stern, T.E., Elwalid, A.I.: Analysis of separable Markov-modulated rate models for information-handling systems. Adv. Appl. Prob. 23, 105–139 (1991)",{"doi":897},"10.2307\u002F1427514",{"id":20,"text":899,"url":20,"identifiers":900},"Tzenova, E., Adan, I., Kulkarni, V.: Fluid models with jumps. Stoch. Models 21, 37–55 (2005)",{"doi":901},"10.1081\u002FSTM-200046459",{"id":903,"createTime":904,"updateTime":905,"relativeEntities":906,"slug":907,"properties":908,"entityType":102,"verifyStatus":169,"verifyTime":905,"verifyNote":170,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":917,"fullTextUrl":20,"authors":918,"publicationType":121,"publisherRelationship":980,"citationCount":20,"citationInfo":20,"publishDate":1007,"publishYear":1008,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":20,"isForceReanalyzing":151},"d2cef070-9b8a-4278-8711-952d42cde5c1","2024-01-14T18:37:30.706+00:00","2024-12-11T23:48:16.355+00:00",[],"Different-Wave-Structures-to-the-2-1-Dimensional-Generalized-Bogoyavlensky-Konopelchenko-Equation",{"references":909,"abstract":911,"title":913,"doi":915},{"VOID":910},"Tan, W., Dai, H., Dai, Z., Zhong, W.: Emergence and space-time structure of lump solution to the (2 + 1)-dimensional generalized KP equation. Pramana J. Phys. 89, 77 (2017)\nWazwaz, A.M.: Multiple soliton solutions and multiple complex soliton solutions for two distinct Boussinesq equations. Nonlinear Dyn. 85, 731–737 (2016)\nLiu, J.G., Ai, G.P.: Mixed type exact solutions to the (2 + 1)-dimensional Ito equation. Mod. Phys. Lett. B 32, 1850343 (2018)\nXu, Z., Chen, H.: Cross-kink multi-soliton solutions for the (3 + 1)-D Jimbo–Miwa equation. J. Numer. Methods Heat Fluid Flow 25, 19–24 (2015)\nZhou, Y., Manukure, S., Ma, W.X.: Lump and lump-soliton solutions to the Hirota–Satsuma–Ito equation. Commun. Nonlinear Sci. Numer. Simul. 68, 56–62 (2019)\nChen, S.T., Ma, W.X.: Lump solutions of a generalized Bogoyavlensky–Konopelchenko equation. Front. Math. China 13, 525–534 (2018)\nChen, S.T., Ma, W.X.: Exact solutions to a generalized Bogoyavlensky–Konopelchenko equation via maple symbolic computations. Complexity 2019, 8787460 (2019)\nLi, Q., Chaolu, T., Wang, Y.H.: Lump-type solutions and lump solutions for the (2 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko equation. Comput. Math. Appl. 77, 2077–2085 (2019)\nTan, W., Dai, Z.: Spatiotemporal dynamics of lump solution to the (1 + 1)-dimensional Benjamin–Ono equation. Nonlinear Dyn. 89, 2723–2728 (2017)\nLu, X., Chen, S.T., Ma, W.X.: Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation. Nonlinear Dyn. 86, 523–534 (2016)\nLu, J., Bilige, S., Chaolu, T.: The study of lump solution and interaction phenomenon to (2 + 1)-dimensional generalized fifth-order KdV equation. Nonlinear Dyn. 91, 1669–1676 (2018)\nSun, H.Q., Chen, A.H.: Lump and lump-kink solutions of the (3 + 1)-dimensional Jimbo–Miwa and two extended Jimbo–Miwa equations. Appl. Math. Lett. 68, 55–61 (2017)\nWazwaz, A.M.: Multiple-soliton solutions for the generalized (1 + 1)-dimensional and the generalized (2 + 1)-dimensional Ito equations. Appl. Math. Comput. 202, 840–849 (2008)\nZhang, H.Q., Ma, W.X.: Lump solutions to the (2 + 1)-dimensional Sawada–Kotera equation. Nonlinear Dyn. 87, 2305–2310 (2017)\nLiu, J.G., Du, J.Q., Zeng, Z.F., Nie, B.: New three-wave solutions for the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Nonlinear Dyn. 88, 655–661 (2017)\nWazwaz, A.M.: Multiple-soliton solutions for extended shallow water wave equations. Stud. Math. Sci. 1, 21–29 (2010)\nWazwaz, A.M.: Single and multiple-soliton solutions for the (2 + 1)-dimensional KdV equation. Appl. Math. Comput. 204, 20–26 (2008)\nWazwaz, A.M.: New (3 + 1)-dimensional nonlinear evolution equation: multiple soliton solutions. Central Eur. J. Eng. 4, 352–356 (2014)\nWazwaz, A.M., El-Tantawy, S.A.: New (3 + 1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions. Nonlinear Dyn. 87, 2457–2461 (2017)\nWazwaz, A.M.: Two new integrable fourth-order nonlinear equations: multiple soliton solutions and multiple complex soliton solutions. Nonlinear Dyn. 94, 2655–2663 (2018)\nWazwaz, A.M., Kaur, L.: Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV–Sine–Gordon equation. Nonlinear Dyn. 95, 2209–2215 (2019)\nManukure, S., Zhou, Y., Ma, W.X.: Lump solutions to a (2 + 1)-dimensional extended KP equation. Comput. Math. Appl. 75, 2414–2419 (2018)\nLiu, J.G., Eslami, M., Rezazadeh, H., Mirzazadeh, M.: Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation. Nonlinear Dyn. 95, 1027–1033 (2019)\nLiu, J.G.: Collisions between lump and soliton solutions. Appl. Math. Lett. 92, 184–189 (2019)\nZhao, Z., He, L.: Multiple lump solutions of the (3 + 1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation. Appl. Math. Lett. 95, 114–121 (2019)\nPu, J., He, H.: Mixed lump-soliton solutions of the (3 + 1)-dimensional soliton equation. Appl. Math. Lett. 85, 77–81 (2018)\nLiu, J., Zhang, Y.: Construction of lump soliton and mixed lump stripe solutions of (3 + 1)-dimensional soliton equation. Results Phys. 10, 94–98 (2018)\nLiu, J., Zhang, Y., Muhammad, I.: Resonant soliton and complexiton solutions for (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Comput. Math Appl. 75, 3939–3945 (2018)\nLiu, J., Zhang, Y., Wang, Y.: Topological soliton solutions for three shallow water waves models. Waves Random Complex Media 28, 508–515 (2018)\nLiu, J., Wu, P., Zhang, Y., Feng, L.: New periodic wave solutions of (3 + 1)-dimensional soliton equation. Thermal Sci. 21, 169–176 (2017)\nLiu, J., Yang, X., Cheng, M., Feng, Y., Wang, Y.: Abound rogue wave type solutions to the extended (3 + 1)-dimensional Jimbo–Miwa equation. Comput. Math. Appl. 78, 1947–1959 (2019)\nAswin, V.S., Awasthi, A., Rashidi, M.M.: A differential quadrature based numerical method for highly accurate solutions of Burgers’ equation. Numer. Methods Partial Differ. Equ. 33, 2023–2042 (2017)\nShukla, H.S., Tasmir, M., Srivastava, V.K., Rashidi, M.M.: Modified cubic B-spline differential quadrature method for numerical solution of three-dimensional coupled viscous Burger equation. Mod. Phys. Lett. B 30, 1650110 (2016)\nYang, A.M., Zhang, Y.Z., Cattani, C., Xie, G.N., Rashidi, M.M., Zhou, Y.J., Yang, X.J.: Application of local fractional series expansion method to solve Klein–Gordon equations on Cantor sets. Abstr. Appl. Anal. 2014, 372741 (2014)\nRaja, M.A.Z., Smar, R., Rashidi, M.M.: Application of three unsupervised neural network models to singular nonlinear BVP of transformed 2D Bratu equation. Neural Comput. Appl. 25, 1585–1601 (2014)\nRashidi, M.M., Domairry, G., Dinarvand, S.: Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method. Commun. Nonlinear Sci. Numer. Simul. 14, 708–717 (2009)",{"EN":912},"The purpose of the present work is to confirm the existence of different wave structures for the (2 + 1)-dimensional generalized Bogoyavlensky–Konopelchenko (2D-gBK) equation describing nonlinear waves in applied sciences. In this respect, based on the Hirota’s bilinear form and various test schemes, a variety of exact solutions, including breather-wave, rational, double soliton, mixed-type, cross-kink, and interaction solutions to the 2D-gBK equation are formally extracted. The dynamical structures of a series of selected solutions are investigated by portraying several 3-dimensional and density plots.",{"EN":914},"Different Wave Structures to the (2 + 1)-Dimensional Generalized Bogoyavlensky–Konopelchenko Equation",{"VOID":916},"10.1007\u002Fs40819-019-0730-z","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs40819-019-0730-z",[919,936,953,968],{"id":920,"sortIndex":80,"researcher":20,"roles":921,"affiliations":922,"properties":933},"f24749d7-1ef4-4d46-be56-adc2c5fabd9f",[108],[923],{"id":20,"sortIndex":21,"affiliation":924,"properties":20},{"id":925,"createTime":926,"updateTime":927,"relativeEntities":928,"slug":929,"properties":930,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"78966bff-e560-4b06-8277-d176b3f2202a","2024-01-16T21:32:09.654+00:00","2024-09-25T18:13:20.926+00:00",[],"School-of-Mechanical-Engineering-Iran-University-of-Science-and-Technology-Narmak-Tehran-Iran",{"title":931},{"VI":932},"School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran",{"title":934},{"VI":935},"S. H. Alavi",{"id":937,"sortIndex":21,"researcher":20,"roles":938,"affiliations":939,"properties":950},"72e63791-d640-488f-abd9-baa52ceeddde",[108],[940],{"id":20,"sortIndex":21,"affiliation":941,"properties":20},{"id":942,"createTime":943,"updateTime":944,"relativeEntities":945,"slug":946,"properties":947,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"b906d90c-8683-4a59-9dad-de6df375d2b0","2024-02-13T19:08:12.106+00:00","2024-11-27T11:53:38.471+00:00",[],"Department-of-Mechanical-Engineering-University-of-Guilan-Rasht-Iran",{"title":948},{"VI":949},"Department of Mechanical Engineering, University of Guilan, Rasht, Iran",{"title":951},{"VI":952},"R. Pouyanmehr",{"id":954,"sortIndex":79,"researcher":20,"roles":955,"affiliations":956,"properties":965},"07a15dfd-b3c3-4f3b-b0da-35584cfb998f",[108],[957],{"id":20,"sortIndex":21,"affiliation":958,"properties":20},{"id":959,"createTime":960,"updateTime":960,"relativeEntities":961,"slug":20,"properties":962,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"66df8055-7ec3-4cc8-99f5-ab67d7d7604d","2024-01-26T21:36:24.417+00:00",[],{"title":963},{"VI":964},"Department of Mechanical Engineering, Ahrar Institute of Technology and Higher Education, Rasht, Iran",{"title":966},{"VI":967},"K. Hosseini",{"id":969,"sortIndex":81,"researcher":20,"roles":970,"affiliations":971,"properties":977},"a9249f55-b445-401b-a094-c5aeb7d2334c",[108],[972],{"id":20,"sortIndex":21,"affiliation":973,"properties":20},{"id":942,"createTime":943,"updateTime":944,"relativeEntities":974,"slug":946,"properties":975,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},[],{"title":976},{"VI":949},{"title":978},{"VI":979},"R. Ansari",{"url":917,"publisher":981,"properties":1002},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":982,"slug":10,"properties":983,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":987,"manageAffiliations":988,"indexDatabases":989,"url":74,"thumbnailPath":20,"statistic":997,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":984,"eissn":985,"title":986},{"VOID":13},{"VOID":15},{"EN":17},[],[],[990],{"id":55,"indexDatabase":991,"url":68,"indexYears":69,"academicFieldIds":996,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":992,"label":993,"description":994,"key":65,"publicationTags":995,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":998,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":999,"totalCitation":21,"totalCitationByYear":1000,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":1001,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":1003,"pages":1005},{"VOID":1004},"5",{"VOID":1006},"1-12","2019-10-25",2019,{"id":1010,"createTime":1011,"updateTime":1012,"relativeEntities":1013,"slug":1014,"properties":1015,"entityType":102,"verifyStatus":169,"verifyTime":1024,"verifyNote":170,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":1025,"fullTextUrl":20,"authors":1026,"publicationType":121,"publisherRelationship":1063,"citationCount":20,"citationInfo":20,"publishDate":1089,"publishYear":1008,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":20,"isForceReanalyzing":151},"cd3d822a-8634-4c14-9624-b7e11f1bf404","2024-01-04T02:19:46.624+00:00","2025-01-05T23:46:18.222+00:00",[],"Generalized-Trapezoidal-Intuitionistic-Fuzzy-Soft-Sets-in-Risk-Analysis",{"references":1016,"abstract":1018,"title":1020,"doi":1022},{"VOID":1017},"Molodsov, D.: Soft set theory-first results. Comput. Math. Appl. 37(4–5), 19–31 (1999)\nMaji, P.K., Roy, A.R.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 412–418 (2007)\nChen, D., Tang, E.C.C., Yeung, D.S., Wang, X.: The parameterization reduction of soft set and its application. Comput. Math. Appl. 49, 757–763 (2005)\nMaji, P.K., Roy, A.R.: An application of soft sets in decision making problem. Comput. Math. Appl. 44(8–9), 1077–1083 (2002)\nMaji, P.K., Roy, A.R., Biswas, R.: Intuitiontic fuzzy soft sets. J. Fuzzy Math. 9(3), 677–692 (2001)\nYang, X., Lin, T.Y., Yang, J., Li, Y., Yua, D.: Combination of interval-valued fuzzy set and soft set. Comput. Math. Appl. 58, 521–527 (2009)\nXua, W., Ma, J., Wang, S., Hao, G.: Vague soft sets and their properties. Comput. Math. Appl. 59, 787–794 (2010)\nKhameneh, A.Z., Kilicman, A., Salleh, A.R.: An adjustable approach to multi-criteria group decision-making based on a preference relationship under fuzzy soft information. Int. J. Fuzzy Syst. (2017). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs40815-016-0280-z\nBasu, T.M., Mahapatra, N.K., Mondal, S.K.: A balanced solution of a fuzzy soft set based decision making problem in medical science. Appl. Soft Comput. 12(10), 3260–3275 (2012)\nBasu, T.M., Mahapatra, N.K., Mondal, S.K.: Matrices in interval-valued fuzzy soft set theory and their application. South Asian J. Math. 4(1), 1–22 (2014)\nXiao, Z., Xia, S., Gong, K., Li, D.: The trapezoidal fuzzy soft set and its application in MCGDM. Appl. Math. Model. 36, 5844–5855 (2012)\nZhu, H., Zhao, J., Xu, Y.: 2-Dimension linguistic computational model with 2-tuples for multi-attribute group decision making. Knowl. Based Syst. 103(C), 132–142 (2016)\nSun, B., Ma, W., Li, X.: Linguistic value soft set-based approach to multiple criteria group decision-making. Appl. Soft Comput. 58, 285–296 (2017)\nTao, Z., Chen, H., Song, X., Zhou, L., Liu, J.: Uncertain linguistic fuzzy soft sets and their applications in groupdecision making. Appl. Soft Comput. 34, 587–605 (2015)\nAiwu, Z., Hongjun, G.: Fuzzy-valued linguistic soft set theory and multi-attribute decision-making application. Chaos Solitons Fractals 000, 1–6 (2015)\nSchmucker, K.J.: Fuzzy Sets, Natural Language Computations and Risk Analysis. Computer Science Press, Rockville (1984)\nXu, Z., Shang, S., Qian, W., Shu, W.: A method for fuzzy risk analysis based on the new similarity of trapezoidal fuzzy numbers. Expert Syst. Appl. 37, 1920–1927 (2010)\nHejazi, S.R., Doostparast, A., Hosseini, S.M.: An improved fuzzy risk analysis based on a new similarity measures of generalized fuzzy numbers. Expert Syst. Appl. 38, 9179–9185 (2011)\nHsieh, C.H., Chen, S.H.: Similarity of generalized fuzzy numbers with graded mean integration representation. In: Proceedings of 8th International Fuzzy Systems Association World Congress, Taipei, Taiwan, Republic of China, vol. 2, pp. 551–555 (1999)\nChang, K.H.: A more general risk assessment methodology using a soft set-based ranking technique. Soft Comput. 18(1), 169–183 (2014)\nChang, K.H.: A novel general risk assessment method using the soft TOPSIS approach. J. Ind. Prod. Eng. 32(6), 408–421 (2015)\nChang, K.H., Chang, Y.C., Chain, K., Chung, H.Y.: Integrating soft set theory and fuzzy linguistic model to evaluate the performance of training simulation systems. PLoS ONE (2016). https:\u002F\u002Fdoi.org\u002F10.1371\u002Fjournal.pone.0162092\nMassami, E.P.: Risk assessment of port competitiveness based on vague soft sets. Int. J. Bus. Contin. Risk Manag. (2017). https:\u002F\u002Fdoi.org\u002F10.1504\u002FIJBCRM.2017.083696\nYuan, Q.: Assessment of information security risk with interval intuitionistic trapezoidal fuzzy information. AISS Adv. Inf. Sci. Serv. Sci. 3(9), 21–220 (2011)\nFarhadinia, B., Ban, A.I.: Developing new similarity measures of generalized intuitionistic fuzzy numbers and generalized interval-valued fuzzy numbers from similarity measures of generalized fuzzy numbers. Math. Comput. Model. 57, 812–825 (2013)\nNayagam, V.L.G., Jeevaraj, S., Dhanasekaran, P.: An improved ranking method for comparing trapezoidal intuitionistic fuzzy numbers and its applications to multicriteria decision making. Neural Comput. Appl. (2018). https:\u002F\u002Fdoi.org\u002F10.1007\u002Fs00521-016-2673-1\nXu, Z.: Deviation measures of linguistic preference relations in group decision making. Omega 33, 249–254 (2005)\nFarhadinia, B.: On the similarity measure of generalized fuzzy numbers based on the geometric distance and the perimeter concepts. In: Proceedings of the 12th Iranian Conference on Fuzzy Systems, Babolsar, Iran (2012)\nLiou, T.S., Wang, M.J.: Ranking fuzzy numbers with integral value. Fuzzy Sets Syst. 50, 247–255 (1992)\nLee, Y.W., Dahab, M.F., Bogard, I.: Nitrate-risk assessment using fuzzy set approach. J. Environ. Eng. 121(3), 245–256 (1995)\nYe, J.: Multicriteria group decision-making method using the distances-based similarity measures between intuitionistic trapezoidal fuzzy numbers. Int. J. Gen. Syst. 41(7), 729–739 (2012)",{"EN":1019},"In medical sciences, diagnosis of a disease of a patient needs to be very potent and realizable. In this article we have given a mathematical approach that can help a doctor for making a decision about a patient whether he\u002Fshe is a diabetic or not. In this regard, firstly we have introduced the notion of generalized trapezoidal intuitionistic fuzzy soft set. Secondly, we have employed a new decision making approach along with an algorithm to solve a generalized trapezoidal intuitionistic fuzzy soft set based decision making problem with linguistic variables intuitively. Then a real life decision making problem regarding the analysis of being a diabetic patient has been illustrated. Moreover, a comparative analysis has also been given to examine the feasibility of our proposed algorithm.",{"EN":1021},"Generalized Trapezoidal Intuitionistic Fuzzy Soft Sets in Risk Analysis",{"VOID":1023},"10.1007\u002Fs40819-019-0647-6","2025-01-05T23:46:18.221+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs40819-019-0647-6",[1027,1039,1051],{"id":1028,"sortIndex":79,"researcher":20,"roles":1029,"affiliations":1030,"properties":1036},"1ec9f267-e612-44f1-9f46-c8c11fa9dae1",[108],[1031],{"id":20,"sortIndex":21,"affiliation":1032,"properties":20},{"id":465,"createTime":466,"updateTime":466,"relativeEntities":1033,"slug":20,"properties":1034,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},[],{"title":1035},{"VI":470},{"title":1037},{"VI":1038},"Tanushree Mitra Basu",{"id":1040,"sortIndex":21,"researcher":20,"roles":1041,"affiliations":1042,"properties":1048},"e1a7b3f6-ca80-4186-8e54-4ff1c60c8571",[108],[1043],{"id":20,"sortIndex":21,"affiliation":1044,"properties":20},{"id":465,"createTime":466,"updateTime":466,"relativeEntities":1045,"slug":20,"properties":1046,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},[],{"title":1047},{"VI":470},{"title":1049},{"VI":1050},"Soumi Manna",{"id":1052,"sortIndex":81,"researcher":20,"roles":1053,"affiliations":1054,"properties":1060},"ebbbbf4e-9205-4f2d-95f9-47e5ab295d34",[108],[1055],{"id":20,"sortIndex":21,"affiliation":1056,"properties":20},{"id":465,"createTime":466,"updateTime":466,"relativeEntities":1057,"slug":20,"properties":1058,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},[],{"title":1059},{"VI":470},{"title":1061},{"VI":1062},"Shyamal Kumar Mondal",{"url":1025,"publisher":1064,"properties":1085},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1065,"slug":10,"properties":1066,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":1070,"manageAffiliations":1071,"indexDatabases":1072,"url":74,"thumbnailPath":20,"statistic":1080,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":1067,"eissn":1068,"title":1069},{"VOID":13},{"VOID":15},{"EN":17},[],[],[1073],{"id":55,"indexDatabase":1074,"url":68,"indexYears":69,"academicFieldIds":1079,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":1075,"label":1076,"description":1077,"key":65,"publicationTags":1078,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":1081,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":1082,"totalCitation":21,"totalCitationByYear":1083,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":1084,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":1086,"pages":1087},{"VOID":1004},{"VOID":1088},"1-18","2019-05-08",{"id":1091,"createTime":1092,"updateTime":1093,"relativeEntities":1094,"slug":1095,"properties":1096,"entityType":102,"verifyStatus":169,"verifyTime":1093,"verifyNote":170,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":1105,"fullTextUrl":20,"authors":1106,"publicationType":121,"publisherRelationship":1124,"citationCount":20,"citationInfo":20,"publishDate":1150,"publishYear":150,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":20,"openAccess":20,"references":20,"isForceReanalyzing":151},"b7d62da6-2473-4fa4-ac48-d54f74089014","2023-12-22T03:32:53.517+00:00","2025-02-11T23:45:19.431+00:00",[],"On-the-Discrete-q-Hermite-Matrix-Polynomials",{"references":1097,"abstract":1099,"title":1101,"doi":1103},{"VOID":1098},"Jódar, L., Company, R., Navarro, E.: Laguerre matrix polynomials and system of second-order differential equations. Appl. Numer. Math. 15, 53–63 (1994)\nJódar, L., Company, R.: Hermite matrix polynomials and second order matrix differential equations. J. Approx. Theory Appl. 12(2), 20–30 (1996)\nSayyed, K.A.M., Metwally, M.S., Batahan, R.S.: Gegenbauer matrix polynomials and second order matrix differential equations. Divulg. Mat. 12(2), 101–115 (2004)\nDefez, E., Jódar, L.: Some applications of the Hermite matrix polynomials series expansions. J. Comput. Appl. Math. 99, 105–117 (1998)\nDefez, E., Garcia-Honrubia, M., Villanueva, R.J.: Aprocedure for computing the exponential of a matrix using Hermite matrix polynomials. Far East J. Appl. Math. 6(3), 217–231 (2002)\nJódar, L., Defez, E.: Some new matrix formulas related to Hermite matrix polynomials theory. In: M. Alfaro et al. (eds.) Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics, Legans, pp. 24–26 (1996)\nJódar, L., Defez, E.: On Hermite matrix polynomials and Hermite matrix function. J. Approx. Theory Appl. 14(1), 36–48 (1998)\nSayyed, K.A.M., Metwally, M.S., Batahan, R.S.: On generalized Hermite matrix polynomials. Electron. J. Linear Algebra 10, 272–279 (2003)\nBatahan, R.S.: A new extension of Hermite matrix polynomials and its applications. Linear Algebra Appl. 419, 82–92 (2006)\nDunford, N., Schwartz, J.: Linear Operators, Part I. Interscience, New York (1956)\nDefez, E., Hervás, A., Jódar, L., Law, A.: Bounding Hermite matrix polynomials. Math. Comput. Model. 40, 117–125 (2004)\nAndrews, G., Askey, R., Roy, R.: Special Functions. Cambridge University Press, Cambridge (1999)\nGasper, G., Rahman, M.: Basic Hypergeometric Series. Cambridge University Press, Cambridge (2004)\nSzego, G.: Beitrag zur Theorie der Thetafunktionen, Sitz. Preuss. Akad. Wiss. Phys. Math. Kl., XIX (1926) 242–252, Reprinted in “Collected Papers”, edited by R. Askey, vol. I, Birkhauser, Boston (1982)\nKoekoek, R., Swarttouw, R.F.: The Askeyscheme of hypergeometric orthogonal polynomials and its \\(q\\)-analogue. In: Report 98-17. Delft University of Technology, Delft (1998)\nArik, M., Atakishiyev, N.M., Rueda, J.P.: Discrete \\(q\\)-Hermite polynomials are linked by the integral and finite Fourier transforms. Int. J. Differ. Equ. 1(2), 195–204 (2006)\nSalem, A.: On a \\(q\\)-gamma and a \\(q\\)-beta matrix functions. Linear Multilinear Algebra 60(6), 683–696 (2012)\nSalem, A.: The basic Gauss hypergeometric matrix function and its matrix \\(q\\)-difference equation. Linear Multilinear Algebra 62(3), 347–361 (2014)\nSalem, A.: The q-Laguerre matrix polynomials. SpringerPlus 5, 550 (2016)\nJackson, F.H.: \\(q\\)-form of Taylors theorem. Messenger Math. 39, 62–64 (1906)",{"EN":1100},"There are two definitions for the discrete q-Hermite polynomials, one of them is defined for \n                  \n                    \n                  \n                  $$0\u003Cq\u003C1$$\n                  \n                    \n                  \n                 and the other is considered a generalization for \n                  \n                    \n                  \n                  $$q>1$$\n                  \n                    \n                  \n                . This paper is devoted to extend these definitions to the discrete q-Hermite matrix polynomials by means of the generating matrix functions. Explicit expressions and Rodrigues-type formulas for the discrete q-Hermite matrix polynomials are obtained. Some recurrence relations for these matrix polynomials, in particular the three terms recurrence relations are given. Furthermore, some identities are proved.",{"EN":1102},"On the Discrete q-Hermite Matrix Polynomials",{"VOID":1104},"10.1007\u002Fs40819-016-0285-1","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs40819-016-0285-1",[1107],{"id":1108,"sortIndex":21,"researcher":20,"roles":1109,"affiliations":1110,"properties":1121},"f817d4ad-64b6-447c-b1dc-f4a441fc07d0",[108],[1111],{"id":20,"sortIndex":21,"affiliation":1112,"properties":20},{"id":1113,"createTime":1114,"updateTime":1115,"relativeEntities":1116,"slug":1117,"properties":1118,"entityType":49,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21},"15a30ef5-3501-4b67-b1f8-ebb5789d5a1b","2023-12-27T11:22:32.478+00:00","2025-01-03T13:11:53.472+00:00",[],"Department-of-Mathematics-Faculty-of-Science-King-Abdulaziz-University-Jeddah-Saudi-Arabia",{"title":1119},{"VI":1120},"Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia",{"title":1122},{"VI":1123},"Ahmed Salem",{"url":1105,"publisher":1125,"properties":1146},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1126,"slug":10,"properties":1127,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"syncStatus":19,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":1131,"manageAffiliations":1132,"indexDatabases":1133,"url":74,"thumbnailPath":20,"statistic":1141,"gsStatistic":20,"type":84,"analyzePriority":20},[],{"issn":1128,"eissn":1129,"title":1130},{"VOID":13},{"VOID":15},{"EN":17},[],[],[1134],{"id":55,"indexDatabase":1135,"url":68,"indexYears":69,"academicFieldIds":1140,"indexDatabaseRanking":73},{"id":57,"createTime":58,"updateTime":59,"relativeEntities":1136,"label":1137,"description":1138,"key":65,"publicationTags":1139,"standard":20},[],{"EN":62,"VI":62},{"EN":62,"VI":64},[67],[71,72],{"impactFactor":21,"impactFactorByYear":1142,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":77,"totalPublicationByYear":1143,"totalCitation":21,"totalCitationByYear":1144,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":1145,"hindexLast5Year":21,"hindex":21},{},{"2014":79,"2016":79,"2017":50,"2018":80,"2019":79,"2020":80,"2021":81,"2022":81,"2023":79},{},{},{"volume":1147,"pages":1148},{"VOID":146},{"VOID":1149},"3147-3158","2016-12-10"]