Analytical solution of nonlinear space-time fractional differential equations using the improved fractional Riccati expansion method

被引：29

作者：

Abdel-Salam, Emad A-B. ^{[1
,3
]}

Gumma, Elzain A. E. ^{[2
,3
]}

机构：

[1] Assiut Univ, Fac Sci, Dept Math, New Valley Branch, El Kharja 72511, Egypt

[2] Int Univ Africa, Fac Appl & Pure Sci, Dept Math, Khartoum 14415, Sudan

[3] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia

来源：

AIN SHAMS ENGINEERING JOURNAL | 2015年 / 6卷 / 02期

关键词：

Improved fractional Riccati expansion method; Nonlinear fractional differential equation; Modified Riemann-Liouville derivative; Exact solution;

D O I：

10.1016/j.asej.2014.10.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the improved fractional Riccati expansion method is proposed to solve fractional differential equations. The method is applied to solve space-time fractional modified Korteweg-de Vries equation, space-time fractional modified regularized long-wave equation, time fractional biological population model, and space-time fractional Klein-Gordon equation. The obtained solutions include generalized trigonometric and hyperbolic functions solutions. Among these solutions, some are found for the first time. (C) 2014 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B. V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).

引用

页码：613 / 620

页数：8

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