The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay
In this paper, we investigate the existence and uniqueness of the solution to a class of nonlinear fractional order system with delay. The estimate value of the above solution is also obtained by using the generalized Gronwall inequality.
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Pergamon Press
2016
|
| Online Access: | http://hdl.handle.net/20.500.11937/24805 |
| _version_ | 1848751530791927808 |
|---|---|
| author | Wang, F. Chen, D. Zhang, Xinguang Wu, Yong Hong |
| author_facet | Wang, F. Chen, D. Zhang, Xinguang Wu, Yong Hong |
| author_sort | Wang, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we investigate the existence and uniqueness of the solution to a class of nonlinear fractional order system with delay. The estimate value of the above solution is also obtained by using the generalized Gronwall inequality. |
| first_indexed | 2025-11-14T07:54:12Z |
| format | Journal Article |
| id | curtin-20.500.11937-24805 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:54:12Z |
| publishDate | 2016 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-248052017-09-13T15:14:32Z The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay Wang, F. Chen, D. Zhang, Xinguang Wu, Yong Hong In this paper, we investigate the existence and uniqueness of the solution to a class of nonlinear fractional order system with delay. The estimate value of the above solution is also obtained by using the generalized Gronwall inequality. 2016 Journal Article http://hdl.handle.net/20.500.11937/24805 10.1016/j.aml.2015.10.001 Pergamon Press restricted |
| spellingShingle | Wang, F. Chen, D. Zhang, Xinguang Wu, Yong Hong The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title | The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title_full | The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title_fullStr | The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title_full_unstemmed | The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title_short | The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| title_sort | existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay |
| url | http://hdl.handle.net/20.500.11937/24805 |