Analytical approach for space-time fractional Klein-Gordon equation

被引：20

作者：

Unsal, Omer ^{[1
]}

Guner, Ozkan ^{[2
]}

Bekir, Ahmet ^{[1
]}

机构：

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

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

来源：

OPTIK | 2017年 / 135卷

关键词：

Exact solution; (G'/G)-expansion method; (w/g)-expansion method; The space-time fractional Klein-Gordon equation; Modified Riemann-Liouville derivative; 1ST INTEGRAL METHOD; TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD; DIFFERENTIAL-EQUATIONS; EVOLUTION;

D O I：

10.1016/j.ijleo.2017.01.072

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this work, we find exact solutions of space-time fractional Klein-Gordon equation including Jumarie's modified Riemann-Liouville derivative by using fractional complex transform, (G'/G) and (w/g)-expansion methods which is employed to solve fractional differential equations in mathematical physics and applied mathematics. As a result, two types of exact solutions are obtained. It is shown that the considered transform and method are very efficient and powerful in solving other kinds of nonlinear fractional differential equations. (C) 2017 Elsevier GmbH. All rights reserved.

引用

页码：337 / 345

页数：9

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