Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

Fengrong Zhang, Changpin Li and YangQuan Chen

International Journal of Differential Equations, 2011, vol. 2011, 1-12

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.

Date: 2011
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJDE/2011/635165.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJDE/2011/635165.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:635165

DOI: 10.1155/2011/635165

Access Statistics for this article

More articles in International Journal of Differential Equations from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().