Abstarct
We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure
Contents
1. Introduction
2. Elementary Definitions and Theorems
2.1. Fractional Derivative of Single and Distributed Order
2.2. Mittag-Leffler Function
2.3. Main Theorems about Inverse of the Laplace Transform
3. Stability Analysis of Distributed Order Fractional Systems
4. Distributed Order Fractional Evolution Systems
5. Conclusions and Future Works