Solving Nonlinear Fractional Differential Equation by Generalized Mittag-Leffler Function Method

被引：20
|
作者：
Arafa, A. A. M. [1 ]
Rida, S. Z. [2 ]
Mohammadein, A. A. [3 ]
Ali, H. M. [3 ]
机构：
[1] Port Said Univ, Dept Math & Comp Sci, Fac Sci, Port Said, Egypt
[2] South Valley Univ, Dept Math, Fac Sci, Qena, Egypt
[3] Aswan Univ, Dept Math, Fac Sci, Aswan, Egypt
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 59卷 / 06期
关键词：
nonlinear fractional differential equations; Mittag-Leffler function; Caputo fractional derivative;
D O I：
10.1088/0253-6102/59/6/01
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we use Mittag-Leffler function method for solving some nonlinear fractional differential equations. A new solution is constructed in power series. The fractional derivatives are described by Caputo's sense. To illustrate the reliability of the method, some examples are provided.
引用
收藏
页码：661 / 663
页数：3
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