Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
© 2015, Wang and Liu.In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of C<sup>2</sup>[0,1] positive solution is obtained...
| Main Authors: | , |
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| Format: | Journal Article |
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SpringerOpen
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/52101 |
| _version_ | 1848758846463410176 |
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| author | Wang, Y. Liu, Lishan |
| author_facet | Wang, Y. Liu, Lishan |
| author_sort | Wang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015, Wang and Liu.In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of C<sup>2</sup>[0,1] positive solution is obtained by means of the fixed point theorems on cones. In addition, the uniqueness results and the iterative sequences of the solution are also given. |
| first_indexed | 2025-11-14T09:50:29Z |
| format | Journal Article |
| id | curtin-20.500.11937-52101 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:29Z |
| publishDate | 2015 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521012017-09-13T15:38:44Z Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations Wang, Y. Liu, Lishan © 2015, Wang and Liu.In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of C<sup>2</sup>[0,1] positive solution is obtained by means of the fixed point theorems on cones. In addition, the uniqueness results and the iterative sequences of the solution are also given. 2015 Journal Article http://hdl.handle.net/20.500.11937/52101 10.1186/s13662-015-0540-5 SpringerOpen unknown |
| spellingShingle | Wang, Y. Liu, Lishan Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title | Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title_full | Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title_fullStr | Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title_full_unstemmed | Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title_short | Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| title_sort | necessary and sufficient condition for the existence of positive solution to singular fractional differential equations |
| url | http://hdl.handle.net/20.500.11937/52101 |