Matrix Mittag-Leffler function and solution of multi-term fractional differential equations

被引：0
|
作者：
Duan, Junsheng [1 ]
Chen, Lian [1 ]
机构：
[1] Shanghai Inst Technol, Sch Sci, Shanghai 201418, Peoples R China
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2020年 / 10卷 / 05期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
fractional calculus; fractional derivative; Mittag-Leffler function; fractional differential equation; NUMERICAL-SOLUTION; SYSTEM; DECOMPOSITION;
D O I：
10.1504/IJDSDE.2020.111478
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first derive the solution of fractional differential equation system expressed in matrix Mittag-Leffler function by using the Adomian decomposition method. Then we consider the initial value problem (IVP) for multi-term fractional differential equation. By introducing new unknown functions, we rewrite the IVP for multi-term fractional differential equation into the IVP for a fractional differential equation system. Thus the solution can be given in terms of matrix Mittag-Leffler functions. We demonstrate the method using four numerical examples and the results are simulated using MATHEMATICA 8.
引用
收藏
页码：401 / 414
页数：14
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