Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions. By constructing suitable upper and lower solutions and employing Schauder’s fixed point theorem, the conditions fo...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/74083 |
| _version_ | 1848763175875379200 |
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| author | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. |
| author_facet | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. |
| author_sort | He, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions. By constructing suitable upper and lower solutions and employing Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established and the asymptotic analysis for the obtained solution is carried out. In our work, the nonlinear function involved in the equation not only contains fractional derivatives of unknown functions but also has a stronger singularity at some points of the time and space variables. |
| first_indexed | 2025-11-14T10:59:17Z |
| format | Journal Article |
| id | curtin-20.500.11937-74083 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:59:17Z |
| publishDate | 2018 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-740832019-03-14T03:17:37Z Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions. By constructing suitable upper and lower solutions and employing Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established and the asymptotic analysis for the obtained solution is carried out. In our work, the nonlinear function involved in the equation not only contains fractional derivatives of unknown functions but also has a stronger singularity at some points of the time and space variables. 2018 Journal Article http://hdl.handle.net/20.500.11937/74083 10.1186/s13661-018-1109-5 http://creativecommons.org/licenses/by/4.0/ SpringerOpen fulltext |
| spellingShingle | He, J. Zhang, Xinguang Liu, Lishan Wu, Yong Hong Cui, Y. Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title | Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title_full | Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title_fullStr | Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title_full_unstemmed | Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title_short | Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| title_sort | existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions |
| url | http://hdl.handle.net/20.500.11937/74083 |