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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
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