分数阶微分方程的矩阵级数解 Metric Series Solutions of 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。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.