标题:
分数阶微分方程的矩阵级数解Metric Series Solutions of Fractional Differential Equations
作者:
万桂华, 张淑琴, 苏新卫
关键字:
Mittage-Leffler型函数, 矩阵级数, 分数阶微分方程Mittage-Leffler Type Functions; Metric Series; Fractional Differential Equations
期刊名称:
《Pure Mathematics》, Vol.2 No.1, 2012-01-16
摘要:
在本文中,我们引进了n阶矩阵的Mittage-Leffler型级数。我们得到了分数阶微分方程组初值问题的Mittage-Leffler型矩阵级数解。而且,我们得到了分数阶微分方程组的用Mittage-Leffler型矩阵级数所表示的基解矩阵。In this paper, we introduce a Mittage-Leffler type series for metric of n order. We obtain Mittage- Leffler type metric series solutions of initial value problems for fractional differential equations system. Fur- ther, we obtain fundamental solution metric, which are denoted by Mittage-Leffler type metric series.