International Journal of Differential Equations

Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

Abstract

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.

Article information

Source
Int. J. Differ. Equ., Volume 2011, Special Issue (2011), Article ID 635165, 12 pages.

Dates
Accepted: 14 June 2011
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399986

Digital Object Identifier
doi:10.1155/2011/635165

Mathematical Reviews number (MathSciNet)
MR2821248

Zentralblatt MATH identifier
1239.34008

Citation

Zhang, Fengrong; Li, Changpin; Chen, YangQuan. Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative. Int. J. Differ. Equ. 2011, Special Issue (2011), Article ID 635165, 12 pages. doi:10.1155/2011/635165. https://projecteuclid.org/euclid.ijde/1485399986

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