A generalization of the Mittag–Leffler function and solution of system of fractional differential equations

被引：0
作者：
Junsheng Duan
机构：
[1] Shanghai Institute of Technology,School of Sciences
来源：
Advances in Difference Equations | / 2018卷
关键词：
Fractional calculus; Fractional derivative; Mittag–Leffler function; Fractional differential equation;
D O I：
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学科分类号：
摘要：
The solutions of system of linear fractional differential equations of incommensurate orders are considered and analytic expressions for the solutions are given by using the Laplace transform and multi-variable Mittag–Leffler functions of matrix arguments. We verify the result with numeric solutions of an example. The results show that the Mittag–Leffler functions are important tools for analysis of a fractional system. The analytic solutions obtained are easy to program and are approximated by symbolic computation software such as MATHEMATICA.
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