Exact solutions of some systems of fractional differential-difference equations

被引：9

作者：

Bekir, Ahmet ^{[1
]}

Guner, Ozkan ^{[2
]}

Ayhan, Burcu ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

[2] Dumlupinar Univ, Sch Appl Sci, Dept Management Informat Syst, Kutahya, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 17期

关键词：

fractional differential-difference equations; fractional partial differential equations; exact solutions; (G'/G)-EXPANSION METHOD;

D O I：

10.1002/mma.3318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (G'/G)-expansion method is proposed to establish hyperbolic and trigonometric function solutions for fractional differential-difference equations with themodified Riemann-Liouville derivative. The fractional complex transform is proposed to convert a fractional partial differential-difference equation into its differential-difference equation of integer order. We obtain the hyperbolic and periodic function solutions of the nonlinear time-fractional Toda lattice equations and relativistic Toda lattice system. The proposed method is more effective and powerful for obtaining exact solutions for nonlinear fractional differential-difference equations and systems. Copyright (C) 2014 JohnWiley& Sons, Ltd.

引用

页码：3807 / 3817

页数：11

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