Abstract and Applied Analysis
Volume 2011 (2011), Article ID 175323, 12 pages
http://dx.doi.org/10.1155/2011/175323
Research Article

Stability Analysis of Distributed Order Fractional Differential Equations

H. Saberi Najafi,1 A. Refahi Sheikhani,1 and A. Ansari2

1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran
2Department of Mathematics, Faculty of Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran

Received 8 May 2011; Accepted 20 July 2011

Academic Editor: Jinhu Lü

Copyright © 2011 H. Saberi Najafi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.