理论数学    Vol.2 No.1 (January 2012)

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 ：;

关键词: 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

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。

Abstract: 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.

文章引用: 万桂华 , 张淑琴 , 苏新卫 (2012) 分数阶微分方程的矩阵级数解。 理论数学， 2， 17-22. doi: 10.12677/pm.2012.21004

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