Positive solution of singular fractional differential system with nonlocal boundary conditions
In this paper, we consider the existence of positive solutions for a singular fractionaldifferential system involving a nonlocal boundary condition which is given by a linearfunctional on C[0, 1] with a signed measure. By looking for the upper and lowersolutions of the system, the sufficient conditi...
| Main Authors: | , , , |
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| Format: | Journal Article |
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SpringerOpen
2014
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| Online Access: | http://www.advancesindifferenceequations.com/content/2014/1/323 http://hdl.handle.net/20.500.11937/42400 |
| _version_ | 1848756409328467968 |
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| author | Wu, J. Zhang, Xinguang Liu, L. Wu, Yong Hong |
| author_facet | Wu, J. Zhang, Xinguang Liu, L. Wu, Yong Hong |
| author_sort | Wu, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the existence of positive solutions for a singular fractionaldifferential system involving a nonlocal boundary condition which is given by a linearfunctional on C[0, 1] with a signed measure. By looking for the upper and lowersolutions of the system, the sufficient condition of the existence of positive solutionsis established; some further cases are discussed. This is proved in the case of strongsingularity and with a signed measure. |
| first_indexed | 2025-11-14T09:11:44Z |
| format | Journal Article |
| id | curtin-20.500.11937-42400 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:11:44Z |
| publishDate | 2014 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-424002017-01-30T14:59:23Z Positive solution of singular fractional differential system with nonlocal boundary conditions Wu, J. Zhang, Xinguang Liu, L. Wu, Yong Hong nonlocal boundary conditions fractional differential system singularity positive solution In this paper, we consider the existence of positive solutions for a singular fractionaldifferential system involving a nonlocal boundary condition which is given by a linearfunctional on C[0, 1] with a signed measure. By looking for the upper and lowersolutions of the system, the sufficient condition of the existence of positive solutionsis established; some further cases are discussed. This is proved in the case of strongsingularity and with a signed measure. 2014 Journal Article http://hdl.handle.net/20.500.11937/42400 http://www.advancesindifferenceequations.com/content/2014/1/323 SpringerOpen fulltext |
| spellingShingle | nonlocal boundary conditions fractional differential system singularity positive solution Wu, J. Zhang, Xinguang Liu, L. Wu, Yong Hong Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title | Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title_full | Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title_fullStr | Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title_full_unstemmed | Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title_short | Positive solution of singular fractional differential system with nonlocal boundary conditions |
| title_sort | positive solution of singular fractional differential system with nonlocal boundary conditions |
| topic | nonlocal boundary conditions fractional differential system singularity positive solution |
| url | http://www.advancesindifferenceequations.com/content/2014/1/323 http://hdl.handle.net/20.500.11937/42400 |