Nonlocal fractional order differential equations with changing-sign singular perturbation
In this paper, we study the existence of positive solutions for a class of nonlocal fractional order differential equations with changing-sign singular perturbation. By means of Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established respectively for th...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier Inc.
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/32041 |
| _version_ | 1848753551711404032 |
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| author | Zhang, Xinguang Wu, Yong Hong Caccetta, Louis |
| author_facet | Zhang, Xinguang Wu, Yong Hong Caccetta, Louis |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the existence of positive solutions for a class of nonlocal fractional order differential equations with changing-sign singular perturbation. By means of Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established respectively for the cases where the nonlinearity is positive, negative and semipositone. |
| first_indexed | 2025-11-14T08:26:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-32041 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:26:19Z |
| publishDate | 2013 |
| publisher | Elsevier Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-320412017-09-13T15:18:08Z Nonlocal fractional order differential equations with changing-sign singular perturbation Zhang, Xinguang Wu, Yong Hong Caccetta, Louis In this paper, we study the existence of positive solutions for a class of nonlocal fractional order differential equations with changing-sign singular perturbation. By means of Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established respectively for the cases where the nonlinearity is positive, negative and semipositone. 2013 Journal Article http://hdl.handle.net/20.500.11937/32041 10.1016/j.apm.2015.02.005 Elsevier Inc. restricted |
| spellingShingle | Zhang, Xinguang Wu, Yong Hong Caccetta, Louis Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title | Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title_full | Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title_fullStr | Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title_full_unstemmed | Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title_short | Nonlocal fractional order differential equations with changing-sign singular perturbation |
| title_sort | nonlocal fractional order differential equations with changing-sign singular perturbation |
| url | http://hdl.handle.net/20.500.11937/32041 |