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

被引：14

作者：

Latif, Mohamed S. Abdel ^{[1
]}

Kader, Abass H. Abdel ^{[1
]}

Baleanu, Dumitru ^{[2
,3
,4
]}

机构：

[1] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura, Egypt

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Fractional differential equations; Generalized fractional derivative; Invariant subspace method; CALCULUS;

D O I：

10.1186/s13662-020-02553-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：13

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