Solution of system of fractional differential equations by Adomian decomposition method

被引：33

作者：

Duan J. ^{[1
]}

An J. ^{[1
]}

Xu M. ^{[2
]}

机构：

[1] College of Science, Tianjin University of Commerce

[2] Institute of Mathematics and Systematical Science, Shandong University

来源：

Applied Mathematics-A Journal of Chinese Universities | 2007年 / 22卷 / 1期

关键词：

Adomian decomposition method; Fractional calculus; Mittag-Leffler function;

D O I：

10.1007/s11766-007-0002-2

中图分类号：

学科分类号：

摘要：

The aim of this paper is to apply the relatively new Adomian decomposition method to solving the system of linear fractional, in the sense of Riemann-Liouville and Caputo respectively, differential equations. The solutions are expressed in terms of Mittag-Leffler functions of matric argument. The Adomian decomposition method is straightforward, applicable for broader problems and avoids the difficulties in applying integral transforms. As the order is 1, the result here is simplified to that of first order differential equation. © Editorial Committee of Applied Mathematics 2007.

引用

页码：7 / 12

页数：5

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