On the concept of exact solution for nonlinear differential equations of fractional-order

被引:10
|
作者
Guner, Ozkan [1 ]
Bekir, Ahmet [2 ]
机构
[1] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey
[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey
关键词
modified Riemann-Liouville derivative; the nonlinear space-time fractional Burger's equation; the nonlinear space-time fractional Telegraph equation; the nonlinear space-time fractional Fisher equation; TRAVELING-WAVE SOLUTIONS; 1ST INTEGRAL METHOD; (G'/G)-EXPANSION METHOD;
D O I
10.1002/mma.3845
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, the new exact travelling wave solutions of the nonlinear space-time fractional Burger's, the nonlinear space-time fractional Telegraph and the nonlinear space-time fractional Fisher equations have been found. Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into ordinary differential equations of integer order in the sense of the Jumarie's modified Riemann-Liouville derivative. The (G'/G)-expansion method is effective for constructing solutions to the nonlinear fractional equations, and it appears to be easier and more convenient by means of a symbolic computation system. Copyright (C) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码:4035 / 4043
页数:9
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