Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations
© 2017 Diogenes Co., Sofia 2017. In this paper, we study a class of fractional semilinear integro-differential equations of order ß ? (1,2] with nonlocal conditions. By using the solution operator, measure of noncompactness and some fixed point theorems, we obtain the existence of local and global m...
| Main Authors: | , , |
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| Format: | Journal Article |
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2017
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| Online Access: | http://hdl.handle.net/20.500.11937/66243 |
| _version_ | 1848761273918947328 |
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| author | Zhu, B. Liu, Lishan Wu, Yong Hong |
| author_facet | Zhu, B. Liu, Lishan Wu, Yong Hong |
| author_sort | Zhu, B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017 Diogenes Co., Sofia 2017. In this paper, we study a class of fractional semilinear integro-differential equations of order ß ? (1,2] with nonlocal conditions. By using the solution operator, measure of noncompactness and some fixed point theorems, we obtain the existence of local and global mild solutions for the problem. The results presented in this paper improve and generalize many classical results. An example about fractional partial differential equations is given to show the application of our theory. |
| first_indexed | 2025-11-14T10:29:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-66243 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:29:04Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-662432018-04-30T02:48:31Z Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations Zhu, B. Liu, Lishan Wu, Yong Hong © 2017 Diogenes Co., Sofia 2017. In this paper, we study a class of fractional semilinear integro-differential equations of order ß ? (1,2] with nonlocal conditions. By using the solution operator, measure of noncompactness and some fixed point theorems, we obtain the existence of local and global mild solutions for the problem. The results presented in this paper improve and generalize many classical results. An example about fractional partial differential equations is given to show the application of our theory. 2017 Journal Article http://hdl.handle.net/20.500.11937/66243 10.1515/fca-2017-0071 restricted |
| spellingShingle | Zhu, B. Liu, Lishan Wu, Yong Hong Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title | Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title_full | Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title_fullStr | Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title_full_unstemmed | Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title_short | Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| title_sort | local and global existence of mild solutions for a class of semilinear fractional integro-differential equations |
| url | http://hdl.handle.net/20.500.11937/66243 |