The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives

Advances in Difference Equations

article

Abdel Latif, Mohamed S.¹  Abdel Kader, Abass H.¹  Baleanu, Dumitru² 

[1] Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University;Department of Mathematics, Faculty of Arts and Sciences, Cankaya University;Department of Medical Research, China Medical University Hospital, China Medical University;Institute of Space Sciences

关键词: Fractional differential equations;    Generalized fractional derivative;    Invariant subspace method;   

DOI  :  10.1186/s13662-020-02553-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact solutions have been obtained for the time fractional Hunter–Saxton equation, a time fractional nonlinear diffusion equation, a time fractional thin-film equation, the fractional Whitman–Broer–Kaup-type equation, and a system of time fractional diffusion equations.

【 授权许可】

CC BY