Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
In this paper, we consider a class of singular fractional differential equations with infinite-point boundary conditions. The fractional orders are involved in the nonlinearity of the boundary value problem, and the nonlinearity is allowed to be singular with respect to not only the time variable bu...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/17584 |
| _version_ | 1848749504604405760 |
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| author | Guo, L. Liu, Lishan Wu, Yong Hong |
| author_facet | Guo, L. Liu, Lishan Wu, Yong Hong |
| author_sort | Guo, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a class of singular fractional differential equations with infinite-point boundary conditions. The fractional orders are involved in the nonlinearity of the boundary value problem, and the nonlinearity is allowed to be singular with respect to not only the time variable but also to the space variable. Firstly, we give Green’s function and establish its properties. Then, we utilize the sequential technique and regularization to investigate the existence of positive solutions. Finally, we give an example of application of our result. |
| first_indexed | 2025-11-14T07:21:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-17584 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:21:59Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-175842017-09-13T15:43:30Z Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions Guo, L. Liu, Lishan Wu, Yong Hong In this paper, we consider a class of singular fractional differential equations with infinite-point boundary conditions. The fractional orders are involved in the nonlinearity of the boundary value problem, and the nonlinearity is allowed to be singular with respect to not only the time variable but also to the space variable. Firstly, we give Green’s function and establish its properties. Then, we utilize the sequential technique and regularization to investigate the existence of positive solutions. Finally, we give an example of application of our result. 2016 Journal Article http://hdl.handle.net/20.500.11937/17584 10.1186/s13661-016-0621-8 SpringerOpen fulltext |
| spellingShingle | Guo, L. Liu, Lishan Wu, Yong Hong Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title | Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title_full | Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title_fullStr | Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title_full_unstemmed | Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title_short | Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| title_sort | existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions |
| url | http://hdl.handle.net/20.500.11937/17584 |