A novel analytical method for time-fractional differential equations

被引：78
|
作者：
Kaplan, Melike [1 ]
Bekir, Ahmet [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
来源：
OPTIK | 2016年 / 127卷 / 20期
关键词：
Exact solutions; The time fractional differential equations; Fractional complex transform; Symbolic computation; The exp(-Phi(xi)) method7; NONLINEAR EVOLUTION-EQUATIONS; 1ST INTEGRAL METHOD; EXP-FUNCTION; (G'/G)-EXPANSION METHOD; SOLITON-SOLUTIONS; WAVE SOLUTIONS;
D O I：
10.1016/j.ijleo.2016.05.152
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we have proposed a exp(-Phi(xi) method to establish hyperbolic, trigonometric and rational function solutions for fractional differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the validity of this method, we solve the time-fractional Sharma-Tasso-Olver and (3 + 1)-dimensional time fractional Korteweg-deVries-Zakharov-Kuznetsov (KdV-ZK) equations. This type of method will be newly submitted to literature to construct exact solutions of nonlinear fractional differential equations (NFDEs). (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码：8209 / 8214
页数：6
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