Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

Joint Authors

Li, Changpin
Chen, YangQuan
Zhang, Fengrong

Source

International Journal of Differential Equations

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-08-04

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Fengrong& Li, Changpin& Chen, YangQuan. 2011. Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-486930

Modern Language Association (MLA)

Zhang, Fengrong…[et al.]. Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative. International Journal of Differential Equations No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-486930

American Medical Association (AMA)

Zhang, Fengrong& Li, Changpin& Chen, YangQuan. Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-486930

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486930