International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2011, Special Issue (2011), Article ID 635165, 12 pages.
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 applied to the analysis of the stability of fractional differential systems. In addition, some other sufficient conditions on stability are also presented.
Int. J. Differ. Equ., Volume 2011, Special Issue (2011), Article ID 635165, 12 pages.
Received: 18 April 2011
Accepted: 14 June 2011
First available in Project Euclid: 26 January 2017
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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