Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence re...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer Verlag
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/12147 |
| _version_ | 1848747997281648640 |
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| author | Wang, Y. Liu, Lishan Wu, Yong Hong |
| author_facet | Wang, Y. Liu, Lishan Wu, Yong Hong |
| author_sort | Wang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results. |
| first_indexed | 2025-11-14T06:58:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-12147 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:58:02Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-121472017-09-13T14:56:51Z Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters Wang, Y. Liu, Lishan Wu, Yong Hong In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results. 2014 Journal Article http://hdl.handle.net/20.500.11937/12147 10.1186/1687-1847-2014-268 Springer Verlag fulltext |
| spellingShingle | Wang, Y. Liu, Lishan Wu, Yong Hong Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title_full | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title_fullStr | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title_full_unstemmed | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title_short | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| title_sort | positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters |
| url | http://hdl.handle.net/20.500.11937/12147 |