Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses
© 2018, The Author(s). In this paper, we study periodic boundary value problems of fractional semilinear integro-differential equations with non-instantaneous impulses in Banach spaces. By the measure of noncompactness, the theory of ß-resolvent family, and the fixed point theorem, we obtain several...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/70966 |
| _version_ | 1848762353189912576 |
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| author | Zhu, B. Liu, Lishan |
| author_facet | Zhu, B. Liu, Lishan |
| author_sort | Zhu, B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018, The Author(s). In this paper, we study periodic boundary value problems of fractional semilinear integro-differential equations with non-instantaneous impulses in Banach spaces. By the measure of noncompactness, the theory of ß-resolvent family, and the fixed point theorem, we obtain several sufficient conditions on the existence of mild solutions for such problems. Finally, an example is given to show the main results of this paper. |
| first_indexed | 2025-11-14T10:46:13Z |
| format | Journal Article |
| id | curtin-20.500.11937-70966 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:46:13Z |
| publishDate | 2018 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-709662018-12-13T09:31:47Z Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses Zhu, B. Liu, Lishan © 2018, The Author(s). In this paper, we study periodic boundary value problems of fractional semilinear integro-differential equations with non-instantaneous impulses in Banach spaces. By the measure of noncompactness, the theory of ß-resolvent family, and the fixed point theorem, we obtain several sufficient conditions on the existence of mild solutions for such problems. Finally, an example is given to show the main results of this paper. 2018 Journal Article http://hdl.handle.net/20.500.11937/70966 10.1186/s13661-018-1048-1 SpringerOpen restricted |
| spellingShingle | Zhu, B. Liu, Lishan Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title | Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title_full | Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title_fullStr | Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title_full_unstemmed | Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title_short | Periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| title_sort | periodic boundary value problems for fractional semilinear integro-differential equations with non-instantaneous impulses |
| url | http://hdl.handle.net/20.500.11937/70966 |