Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are...

Full description

Saved in:
Bibliographic Details
Main Authors: Fengrong Zhang, Changpin Li, YangQuan Chen
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/635165
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some other sufficient conditions on stability are also presented.
ISSN:1687-9643
1687-9651