The Exp-function Method for Some Time-fractional Differential Equations

被引：38
作者：
Bekir, Ahmet [1 ]
Guner, Ozkan [2 ]
Cevikel, Adem [3 ]
机构：
[1] Eskisehir Osmangazi Univ, Dept Math Comp, TR-26480 Eskisehir, Turkey
[2] Cankiri Karatekin Univ, Dept Int Trade, TR-18200 Cankiri, Turkey
[3] Yildiz Tech Univ, Dept Math Educ, TR-34220 Istanbul, Turkey
来源：
IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2017年 / 4卷 / 02期
关键词：
Exact solution; exp-function method; fractional differential equation; NONLINEAR EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; MODELS; SOLITONS;
D O I：
10.1109/JAS.2016.7510172
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Exp-function method are employed for constructing the exact solutions of nonlinear time fractional partial differential equations in mathematical physics. As a result, some new exact solutions for them are successfully established. It is indicated that the solutions obtained by the Exp-function method are reliable, straightforward and effective method for strongly nonlinear fractional partial equations with modified Riemann-Liouville derivative by Jumarie's. This approach can also be applied to other nonlinear time and space fractional differential equations.
引用
收藏
页码：315 / 321
页数：7
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