Về sự tồn tại của các nghiệm cho phương trình phân dị tổ hợp q-mẫu đa điểm được xác định điểm

Jackson, F.H.: q-Difference equations. Am. J. Math. 32, 305–314 (1910). https://doi.org/10.2307/2370183

Adams, C.R.: The general theory of a class of linear partial q-difference equations. Trans. Am. Math. Soc. 26, 283–312 (1924)

Adams, C.R.: Note on the integro-q-difference equations. Trans. Am. Math. Soc. 31(4), 861–867 (1929)

Ahmad, B., Etemad, S., Ettefagh, M., Rezapour, S.: On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions. Bull. Math. Soc. Sci. Math. Roum. 59(107)(2), 119–134 (2016). https://www.jstor.org/stable/26407454

Ahmad, B., Nieto, J.J., Alsaedi, A., Al-Hutami, H.: Existence of solutions for nonlinear fractional q-difference integral equations with two fractional orders and nonlocal four-point boundary conditions. J. Franklin Inst. 351, 2890–2909 (2014)

Ahmad, B., Ntouyas, S.K., Purnaras, I.K.: Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations. Adv. Differ. Equ. 2012, 140 (2012). https://doi.org/10.1186/1687-1847-2012-140

Baleanu, D., Etemad, S., Pourrazi, S., Rezapour, S.: On the new fractional hybrid boundary value problems with three-point integral hybrid conditions. Adv. Differ. Equ. 2019, 473 (2019)

Balkani, N., Rezapour, S., Haghi, R.H.: Approximate solutions for a fractional q-integro-difference equation. J. Math. Ext. 13(3), 201–214 (2019)

Ferreira, R.A.C.: Nontrivials solutions for fractional q-difference boundary value problems. Electron. J. Qual. Theory Differ. Equ. 2010, 70 (2010)

Ntouyas, S.K., Samei, M.E.: Existence and uniqueness of solutions for multi-term fractional q-integro-differential equations via quantum calculus. Adv. Differ. Equ. 2019, 475 (2019). https://doi.org/10.1186/s13662-019-2414-8

Kalvandi, V., Samei, M.E.: New stability results for a sum-type fractional q-integro-differential equation. J. Adv. Math. Stud. 12(2), 201–209 (2019)

Samei, M.E., Ranjbar, G.K., Hedayati, V.: Existence of solutions for equations and inclusions of multi-term fractional q-integro-differential with non-separated and initial boundary conditions. J. Inequal. Appl. 2019, 273 (2019). https://doi.org/10.1186/s13660-019-2224-2

Samei, M.E., Khalilzadeh Ranjbar, G.: Some theorems of existence of solutions for fractional hybrid q-difference inclusion. J. Adv. Math. Stud. 12(1), 63–76 (2019)

Samei, M.E., Khalilzadeh Ranjbar, G., Hedayati, V.: Existence of solutions for a class of Caputo fractional q-difference inclusion on multifunctions by computational results. Kragujev. J. Math. 45(4), 543–570 (2021)

Zhao, Y., Chen, H., Zhang, Q.: Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions. Adv. Differ. Equ. 2013, 48 (2013). https://doi.org/10.1186/1687-1847-2013-48

Samei, M.E.: Existence of solution for a class of fuzzy fractional q-integral equation. Int. J. Stat. Anal. 1(1), 1–9 (2019)

Liang, S., Samei, M.E.: New approach to solutions of a class of singular fractional q-differential problem via quantum calculus. Adv. Differ. Equ. 2020, 14 (2020). https://doi.org/10.1186/s13662-019-2489-2

Baleanu, D., Agarwal, R.P., Mohammadi, H., Rezapour, S.: Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces. Bound. Value Probl. 2013, 112 (2013). https://doi.org/10.1186/1687-2770-2013-112

Samei, M.E.: Existence of solutions for a system of singular sum fractional q-differential equations via quantum calculus. Adv. Differ. Equ. 2020, 23 (2020). https://doi.org/10.1186/s13662-019-2480-y

Samei, M.E., Hedayati, V., Ranjbar, G.K.: The existence of solution for k-dimensional system of Langevin Hadamard-type fractional differential inclusions with 2k different fractional orders. Mediterr. J. Math. 17, 37 (2020). https://doi.org/10.1007/s00009-019-1471-2

Agarwal, R.P., Baleanu, D., Hedayati, V., Rezapour, S.: Two fractional derivative inclusion problems via integral boundary condition. Appl. Math. Comput. 257, 205–212 (2015). https://doi.org/10.1016/j.amc.2014.10.082

Aghazadeh, N., Ravash, E., Rezapour, S.: Existence results and numerical solutions for a multi-term fractional integro-differential equation. Kragujev. J. Math. 43(3), 413–426 (2019). https://doi.org/10.1186/s13661-019-1251-8

Akbari Kojabad, E., Rezapour, S.: Approximate solutions of a sum-type fractional integro-differential equation by using Chebyshev and Legendre polynomials. Adv. Differ. Equ. 2017, 351 (2017)

Aydogan, M.S., Baleanu, D., Mousalou, A., Rezapour, S.: On high order fractional integro-differential equations including the Caputo–Fabrizio derivative. Bound. Value Probl. 2018(1), 90 (2018). https://doi.org/10.1186/s13661-018-1008-9

Aydogan, S.M., Baleanu, D., Mousalou, A., Rezapour, S.: On approximate solutions for two higher-order Caputo–Fabrizio fractional integro-differential equations. Adv. Differ. Equ. 2017(1), 221 (2017). https://doi.org/10.1186/s13662-017-1258-3

Baleanu, D., Ghafarnezhad, K., Rezapour, S., Shabibi, M.: On the existence of solutions of a three steps crisis integro-differential equation. Adv. Differ. Equ. 2018(1), 135 (2018). https://doi.org/10.1186/s13662-018-1583-1

Baleanu, D., Ghafarnezhad, K., Rezapour, S.: On a three steps crisis integro-differential equation. Adv. Differ. Equ. 2019, 153 (2019)

Baleanu, D., Mohammadi, H., Rezapour, S.: On a nonlinear fractional differential equation on partially ordered metric spaces. Adv. Differ. Equ. 2013, 83 (2013). https://doi.org/10.1186/1687-1847-2013-83

Baleanu, D., Rezapour, S., Mohammadi, H.: Some existence results on nonlinear fractional differential equations. Philos. Trans. R. Soc. A, Math. Phys. Eng. Sci. 371, 20120144 (2013). https://doi.org/10.1098/rsta.2012.0144

Baleanu, D., Mohammadi, H., Rezapour, S.: The existence of solutions for a nonlinear mixed problem of singular fractional differential equations. Adv. Differ. Equ. 2013, 359 (2013). https://doi.org/10.1186/1687-1847-2013-359

Baleanu, D., Mousalou, A., Rezapour, S.: A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo–Fabrizio derivative. Adv. Differ. Equ. 2017(1), 51 (2017). https://doi.org/10.1186/s13662-017-1088-3

Baleanu, D., Mousalou, A., Rezapour, S.: The extended fractional Caputo–Fabrizio derivative of order $0 \leq \sigma <1$ on $C_{\mathbb{R}}[0,1]$ and the existence of solutions for two higher-order series-type differential equations. Adv. Differ. Equ. 2018(1), 255 (2018). https://doi.org/10.1186/s13662-018-1696-6

Baleanu, D., Mousalou, A., Rezapour, S.: On the existence of solutions for some infinite coefficient-symmetric Caputo–Fabrizio fractional integro-differential equations. Bound. Value Probl. 2017(1), 145 (2017). https://doi.org/10.1186/s13661-017-0867-9

Baleanu, D., Hedayati, V., Rezapour, S., Al-Qurashi, M.M.: On two fractional differential inclusions. SpringerPlus 5(1), 882 (2016)

Baleanu, D., Rezapour, S., Saberpour, Z.: On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation. Bound. Value Probl. 2019, 79 (2019). https://doi.org/10.1186/s13661-019-1194-0

De La Sena, M., Hedayati, V., Gholizade Atani, Y., Rezapour, S.: The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations. Nonlinear Anal., Model. Control 22(2), 188–209 (2017)

Hedayati, V., Samei, M.E.: Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions. Bound. Value Probl. 2019, 141 (2019). https://doi.org/10.1186/s13661-019-1251-8

Mohammadi, A., Aghazadeh, N., Rezapour, S.: Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden–Fowler equations with initial and boundary conditions. Math. Sci. 13, 255–265 (2019)

Rezapour, S., Hedayati, V.: On a Caputo fractional differential inclusion with integral boundary condition for convex-compact and nonconvex-compact valued multifunctions. Kragujev. J. Math. 41(1), 143–158 (2017). https://doi.org/10.5937/KgJMath1701143R

Samei, M.E., Hedayati, V., Rezapour, S.: Existence results for a fraction hybrid differential inclusion with Caputo–Hadamard type fractional derivative. Adv. Differ. Equ. 2019, 163 (2019). https://doi.org/10.1186/s13662-019-2090-8

Shabibi, M., Postolache, M., Rezapour, S., Vaezpour, S.M.: Investigation of a multisingular pointwise defined fractional integro-differential equation. J. Math. Anal. 7(5), 61–77 (2016)

Shabibi, M., Rezapour, S., Vaezpour, S.M.: A singular fractional integro-differential equation. Sci. Bull. Univ. Politeh. Buchar., Ser. A 79(1), 109–118 (2017)

Wang, Y.: Existence and multiplicity of positive solutions for a class of singular fractional nonlocal boundary value problems. Bound. Value Probl. 2019, 92 (2019)

Wang, Y.: Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance. Appl. Math. Lett. 97, 34–40 (2019). https://doi.org/10.1016/j.aml.2019.05.007

Alsaedi, A., Baleanu, D., Etemad, S., Rezapour, S.: On coupled systems of time-fractional differential problems by using a new fractional derivative. J. Funct. Spaces 2016, Article ID 4626940 (2016). https://doi.org/10.1155/2016/4626940

Baleanu, D., Rezapour, S., Saberpour, Z.: On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation. Adv. Differ. Equ. 2019, 79 (2019). https://doi.org/10.1186/s13661-019-1194-0

Alizadeh, S., Baleanu, D., Rezapour, S.: Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative. Adv. Differ. Equ. 2020, 55 (2020). https://doi.org/10.1186/s13662-020-2527-0

Baleanu, D., Mohammadi, H., Rezapour, S.: Analysis of the model of HIV-1 infection of CD4+ T-cell with a new approach of fractional derivative. Adv. Differ. Equ. 2020, 71 (2020)

Zada, A., Alzabut, J., Waheed, H., Popa, I.L.: Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions. Adv. Differ. Equ. 2020, 64 (2020). https://doi.org/10.1186/s13662-020-2534-1

Shabibi, M., Rezapour, S.: A singular fractional differential equation with Riemann–Liouville integral boundary condition. J. Adv. Math. Stud. 8(1), 80–88 (2015)

Wang, Y.: Existence of uniqueness and nonexistence results of positive solution for fractional differential equations integral boundary value problems. J. Funct. Spaces 2018, Article ID 1547293 (2018). https://doi.org/10.1155/2018/1547293

Wang, Y.: Positive solutions for a class of two-term fractional differential equations with multipoint boundary value conditions. Adv. Differ. Equ. 2019, 304 (2019). https://doi.org/10.1186/s13662-019-2250-x

Wang, Y., Liu, L.: Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations. Adv. Differ. Equ. 2015, 207 (2015)

Ali, M.U., Tayyab, K., Karapinar, E., Vaezpour, S.M.: A new approach to α-ψ-contractive non-self multivalued mappings. J. Inequal. Appl. 2014, 71 (2014)

Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for α-ψ-contractive type mappings. Nonlinear Anal. 75, 2154–2165 (2012)

Vong, S.W.: Positive solutions of singular fractional differential equations with integral boundary conditions. Math. Comput. Model. 57, 1053–1059 (2013)