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

Advances in Difference Equations

卷:2020

Dumitru Baleanu¹  Mohamed S. Abdel Latif²  Abass H. Abdel Kader² 

[1] Department of Mathematics, Faculty of Arts and Sciences, Cankaya University;

[2] Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University;

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

DOI  :  10.1186/s13662-020-02553-9

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown