两项分数阶微分方程在控制系统的应用

Two - term Fractional - order Differential Equation Applied in Controlled System

本文考虑两项的分数阶动力控制系统的微分方程。证明了解的存在性和唯一性;利用Laplace变换求出它的解析解;相应的Green函数用Mittag-Leffler函数表示,提出了一种有效的数值方法;最后给出了数值例子。

In this paper, we consider the two - term fractional - order dynamical controlled system. The existence and uniqueness of solution of this model is given, Using the laplace transform, we derive the analysis solution and the corresponding Green function is obtained in terms of Mittag- Leffter function. We propose a computionally efficient method; Finally we give a numerical method for the model.