Advances in Difference Equations
Volume 2011 (2011), Article ID 213485, 17 pages
doi:10.1155/2011/213485
Research Article

Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

Fengrong Zhang1,2 and Changpin Li1

1Department of Mathematics, Shanghai University, Shanghai 200444, China
2School of Mathematics and Computational Science, China University of Petroleum (East China), Dongying 257061, China

Received 6 December 2010; Revised 31 December 2010; Accepted 7 March 2011

Academic Editor: Dumitru Baleanu

Copyright © 2011 Fengrong Zhang and Changpin Li. 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

The stability of n-dimensional linear fractional differential systems with commensurate order 1<α<2 and the corresponding perturbed systems is investigated. By using the Laplace transform, the asymptotic expansion of the Mittag-Leffler function, and the Gronwall inequality, some conditions on stability and asymptotic stability are given.