Stability of Nonlinear Fractional Neutral Differential Difference Systems
We study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems. Conditions of stability and instability are obtained for the nonlinear fractional...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/514631 |
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| _version_ | 1832554177518108672 |
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| author | Kewei Liu Wei Jiang |
| author_facet | Kewei Liu Wei Jiang |
| author_sort | Kewei Liu |
| collection | DOAJ |
| description | We study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems. Conditions of stability and instability are obtained for the nonlinear fractional neutral systems. |
| format | Article |
| id | doaj-art-c5e28784ba0c456cbef1f9d79c2793c9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-c5e28784ba0c456cbef1f9d79c2793c92025-02-03T05:52:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/514631514631Stability of Nonlinear Fractional Neutral Differential Difference SystemsKewei Liu0Wei Jiang1School of Mathematics, Hefei University of Technology, Hefei 230009, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaWe study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems. Conditions of stability and instability are obtained for the nonlinear fractional neutral systems.http://dx.doi.org/10.1155/2014/514631 |
| spellingShingle | Kewei Liu Wei Jiang Stability of Nonlinear Fractional Neutral Differential Difference Systems Discrete Dynamics in Nature and Society |
| title | Stability of Nonlinear Fractional Neutral Differential Difference Systems |
| title_full | Stability of Nonlinear Fractional Neutral Differential Difference Systems |
| title_fullStr | Stability of Nonlinear Fractional Neutral Differential Difference Systems |
| title_full_unstemmed | Stability of Nonlinear Fractional Neutral Differential Difference Systems |
| title_short | Stability of Nonlinear Fractional Neutral Differential Difference Systems |
| title_sort | stability of nonlinear fractional neutral differential difference systems |
| url | http://dx.doi.org/10.1155/2014/514631 |
| work_keys_str_mv | AT keweiliu stabilityofnonlinearfractionalneutraldifferentialdifferencesystems AT weijiang stabilityofnonlinearfractionalneutraldifferentialdifferencesystems |