New exact solution for space-time fractional differential equations via (G′/G)-expansion method

被引：39

作者：

Guner, Ozkan ^{[1
]}

Atik, Hasan ^{[2
]}

Kayyrzhanovich, Alzhanov Aytugan ^{[3
]}

机构：

[1] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey

[2] Istanbul Medeniyet Univ, Engn & Nat Sci Fac, Dept Math, Istanbul, Turkey

[3] LN Gumilev Eurosian Natl Univ, Fac Informat Technol, Astana, Kazakhstan

来源：

OPTIK | 2017年 / 130卷

关键词：

Exact solution; (G '/G)-expansion method; Fractional DR equation; Fractional approximate long water wave equation; TRAVELING-WAVE SOLUTIONS; 1ST INTEGRAL METHOD;

D O I：

10.1016/j.ijleo.2016.10.116

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this work, new exact solutions for nonlinear fractional DR equation and fractional approximate long water wave equation are obtained within the modified Riemann-Liouville derivative. These solutions can be useful to explain some physical phenomena. We use the (G'/G)-expansion method to establish the exact solutions for above mentioned equations. We report that this method is efficient and it is applicable to other fractional differential equations. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：696 / 701

页数：6

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