Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
© Vilnius University, 2016.In this paper, we investigate the existence of at least three positive solutions to a singular boundary value problem of Caputo’s fractional differential equations with a boundary condition involving values at infinite number of points. Firstly, we establish Green’s functi...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/19211 |
| _version_ | 1848749967640887296 |
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| author | Guo, L. Liu, L. Wu, Yong Hong |
| author_facet | Guo, L. Liu, L. Wu, Yong Hong |
| author_sort | Guo, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © Vilnius University, 2016.In this paper, we investigate the existence of at least three positive solutions to a singular boundary value problem of Caputo’s fractional differential equations with a boundary condition involving values at infinite number of points. Firstly, we establish Green’s function and its properties. Then the existence of multiple positive solutions is obtained by Avery-Peterson’s fixed point theorem. Finally, an example is given to demonstrate the application of our main results. |
| first_indexed | 2025-11-14T07:29:21Z |
| format | Journal Article |
| id | curtin-20.500.11937-19211 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:29:21Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-192112017-09-13T13:43:08Z Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions Guo, L. Liu, L. Wu, Yong Hong © Vilnius University, 2016.In this paper, we investigate the existence of at least three positive solutions to a singular boundary value problem of Caputo’s fractional differential equations with a boundary condition involving values at infinite number of points. Firstly, we establish Green’s function and its properties. Then the existence of multiple positive solutions is obtained by Avery-Peterson’s fixed point theorem. Finally, an example is given to demonstrate the application of our main results. 2016 Journal Article http://hdl.handle.net/20.500.11937/19211 10.15388/NA.2016.5.5 restricted |
| spellingShingle | Guo, L. Liu, L. Wu, Yong Hong Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title | Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title_full | Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title_fullStr | Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title_full_unstemmed | Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title_short | Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| title_sort | existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions |
| url | http://hdl.handle.net/20.500.11937/19211 |