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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/635165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562140163080192 |
|---|---|
| author | Fengrong Zhang Changpin Li YangQuan Chen |
| author_facet | Fengrong Zhang Changpin Li YangQuan Chen |
| author_sort | Fengrong Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-eeeb4217f5fe4c6a945ca8bd16cb219c |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-eeeb4217f5fe4c6a945ca8bd16cb219c2025-02-03T01:23:25ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/635165635165Asymptotical Stability of Nonlinear Fractional Differential System with Caputo DerivativeFengrong Zhang0Changpin Li1YangQuan Chen2Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaElectrical and Computer Engineering Department, Utah State University, Logan, UT 84322-4160, USAThis 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.http://dx.doi.org/10.1155/2011/635165 |
| spellingShingle | Fengrong Zhang Changpin Li YangQuan Chen Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative International Journal of Differential Equations |
| title | Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative |
| title_full | Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative |
| title_fullStr | Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative |
| title_full_unstemmed | Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative |
| title_short | Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative |
| title_sort | asymptotical stability of nonlinear fractional differential system with caputo derivative |
| url | http://dx.doi.org/10.1155/2011/635165 |
| work_keys_str_mv | AT fengrongzhang asymptoticalstabilityofnonlinearfractionaldifferentialsystemwithcaputoderivative AT changpinli asymptoticalstabilityofnonlinearfractionaldifferentialsystemwithcaputoderivative AT yangquanchen asymptoticalstabilityofnonlinearfractionaldifferentialsystemwithcaputoderivative |