New Analytical and Numerical Results For Fractional Bogoyavlensky-Konopelchenko Equation Arising in Fluid Dynamics
Tóm tắt
Từ khóa
Tài liệu tham khảo
K S Miller, B Ross. An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, New York, 1993.
A Kilbas, H M Srivastava, J J Trujillo. Theory and Applications of Fractional Differential Equations, Elsevier, San Diego, 2006.
I Podlubny. Fractional Differential Equations, Academic Press, San Diego, 1999.
A Atangana. Derivative with a new parameter: Theory, methods and applications, Academic Press, 2015.
R Khalil, M Al Horani, A Yousef, M Sababheh. A new definition of fractional derivative, J Comput Appl Math, 2017, 264: 65–70.
A Kurt, O Tasbozan, D Baleanu. New solutions for conformable fractional NizhnikNovikovVeselov system via G′/G expansion method and homotopy analysis methods, Opt Quant Electron, 2017, 49: 333.
O Tasbozan, M Senol, A Kurt, O Ozkan. New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves, Ocean Eng, 2018, 161: 62–68.
O Tasbozan, Y Cenesiz, A Kurt, D Baleanu. New analytical solutions for conformable fractional PDEs arising in mathematical physics by exp-function method, Open Phys, 2017, 15: 647–651.
A Kurt, O Tasbozan, Y Cenesiz. Homotopy analysis method for conformable BurgersKorteweg-de Vries equation, Bull Math Sci Appl, 2016, 17: 17–23.
S Javeed, D Baleanu, A Waheed, M Shaukat Khan, H Affan. Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations, Mathematics, 2019, 7(1): 40.
J J Rosales, F A Godínez, V Banda, G H Valencia. Analysis of the Drude model in view of the conformable derivative, Optik, 2019, 178: 1010–1015.
F M Alharbi, D Baleanu, A Ebaid. Physical properties of the projectile motion using the conformable derivative, Chinese J Phys, 2019, 58: 18–28.
H C Yaslan, A Girgin. New exact solutions for the conformable space-time fractional KdV, CDG, (2 + 1)-dimensional CBS and (2 + 1)-dimensional AKNS equations, J Taibah Univ Sci, 2019, 13: 1–8.
Y Cenesiz, A Kurt, O Tasbozan. On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System, Ann West Univ Timisoara-Math Comput Sci, 2017, 55: 37–50.
S Zhang, H Q Zhang. Fractional sub-equation method and its applications to nonlinear fractional PDEs, Phys Lett A, 2011, 375: 1069–1073.
Y Cenesiz, A Kurt. New fractional complex transform for conformable fractional partial differential equations, J Appl Mat Stat Inform, 2016, 12: 41–47.
M Alquran. Analytical solutions of fractional foam drainage equation by residual power series method, Math Sci, 2015, 8: 153.
M Alquran. Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method, J Appl Anal Comput, 2015, 5: 89–599.
O A Arqub. Series solution of fuzzy differential equations under strongly generalized differentiability, J Adv Res Appl Math, 2013, 5: 31–52.
O A Arqub, A El-Ajou, A Bataineh, I Hashim. A representation of the exact solution of generalized Lane Emden equations using a new analytical method, Abstr Appl Anal, 2013, Article ID 378593, 10 pages.
A Kumar, S Kumar, M Singh. Residual power series method for fractional Sharma-Tasso-Olever equation, Commun Numer Anal, 2016, 1: 1–10.
H M Jaradat, S Al-Shara, Q J Khan, M Alquran, K Al-Khaled. Analytical solution of time-fractional Drinfeld-Sokolov-Wilson system using residual power series method, IAENG Int J Appl Math, 2016, 46: 64–70.
H C Yaslan. Numerical solution of the conformable space-time fractional wave equation, Chinese J Phys, 2018, 56(6): 2916–2925.
H Rezazadeh, H Tariq, M Eslami, M Mirzazadeh, Q Zhou. New exact solutions of nonlinear conformable time-fractional Phi-4 equation, Chinese J Phys, 2018, 56(6): 2805–2816.
F M Alharbi, D Baleanu, A Ebaid. Physical properties of the projectile motion using the conformable derivative, Chinese J Phys, 2019, 58: 18–28.
D Kumar, A R Seadawy, A K Joardar. Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology, Chinese J Phys, 2018, 56(1): 75–85.
Javeed, S Riaz, K Saleem Alimgeer, M Atif, A Hanif, D Baleanu. First Integral Technique for Finding Exact Solutions of Higher Dimensional Mathematical Physics Models, Symmetry, 2019, 11(6): 783.