Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation
In this paper, we study a class of singular fractional order differential system with a changing-sign perturbation which arises from fiuid dynamics, biological models, electrical networks with uncertain physical parameters and parametrical variations in time. Under suitable growth condition, the sin...
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| Format: | Journal Article |
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Shomal University
2016
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| Online Access: | http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2076--2085_Existence_of_positive_solution_for.pdf http://hdl.handle.net/20.500.11937/26792 |
| _version_ | 1848752087172644864 |
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| author | He, J. Zhang, Xinguang Wu, Yong Hong |
| author_facet | He, J. Zhang, Xinguang Wu, Yong Hong |
| author_sort | He, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study a class of singular fractional order differential system with a changing-sign perturbation which arises from fiuid dynamics, biological models, electrical networks with uncertain physical parameters and parametrical variations in time. Under suitable growth condition, the singular changing-sign system is transformed to an approximately singular fractional order differential system with positive nonlinear term, then the existence of positive solution is established by using the known fixed point theorem. |
| first_indexed | 2025-11-14T08:03:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-26792 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:03:02Z |
| publishDate | 2016 |
| publisher | Shomal University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-267922017-01-30T12:55:20Z Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation He, J. Zhang, Xinguang Wu, Yong Hong In this paper, we study a class of singular fractional order differential system with a changing-sign perturbation which arises from fiuid dynamics, biological models, electrical networks with uncertain physical parameters and parametrical variations in time. Under suitable growth condition, the singular changing-sign system is transformed to an approximately singular fractional order differential system with positive nonlinear term, then the existence of positive solution is established by using the known fixed point theorem. 2016 Journal Article http://hdl.handle.net/20.500.11937/26792 http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2076--2085_Existence_of_positive_solution_for.pdf Shomal University restricted |
| spellingShingle | He, J. Zhang, Xinguang Wu, Yong Hong Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title | Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title_full | Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title_fullStr | Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title_full_unstemmed | Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title_short | Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| title_sort | existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation |
| url | http://www.tjnsa.com/includes/files/articles/Vol9_Iss5_2076--2085_Existence_of_positive_solution_for.pdf http://hdl.handle.net/20.500.11937/26792 |