Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann-Liouville Derivative

被引：21

作者：

Akbulut, Arzu ^{[1
]}

Kaplan, Melike ^{[1
]}

Bekir, Ahmet ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2016年 / 17卷 / 7-8期

关键词：

modified Riemann-Liouville derivative; auxiliary equation method; the space-time fractional differential equations; fractional complex transform; SOLITON PERTURBATION-THEORY; KLEIN-GORDON EQUATIONS;

D O I：

10.1515/ijnsns-2016-0023

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, the auxiliary equation method is applied to derive exact solutions of nonlinear fractional Klein-Gordon equation and space-time fractional Symmetric Regularized Long Wave equation. Consequently, some exact solutions of these equations are successfully obtained. These solutions are formed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie's modified Riemann-Liouville sense. The exact solutions founded by the suggested method indicate that the approach is easy to implement and powerful.

引用

页码：413 / 420

页数：8

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