The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations

被引：63
|
作者：
Bekir, Ahmet [1 ]
Guner, Ozkan [2 ]
Unsal, Omer [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Dept Math Comp, Art Sci Fac, TR-26480 Eskisehir, Turkey
[2] Dumlupinar Univ, Sch Appl Sci, Dept Management Informat Syst, TR-43100 Kutahya, Turkey
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2015年 / 10卷 / 02期
关键词：
exact solutions; first integral method; fractional complex transform; time fmKdV equation; space-time fmBBM equation; HOMOTOPY ANALYSIS METHOD; DE-VRIES EQUATION; 1ST-INTEGRAL METHOD; TRANSFORM METHOD; ORDER;
D O I：
10.1115/1.4028065
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we establish exact solutions for some nonlinear fractional differential equations (FDEs). The first integral method with help of the fractional complex transform (FCT) is used to obtain exact solutions for the time fractional modified Korteweg-de Vries (fmKdV) equation and the space-time fractional modified Benjamin-Bona-Mahony (fmBBM) equation. This method is efficient and powerful in solving kind of other nonlinear FDEs.
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页数：5
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