Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes
This paper focuses on the maximum and minimum solutions for a fractional order differential system, involving a p-Laplacian operator and nonlocal boundary conditions, which arises from many complex processes such as ecological economy phenomena and diffusive interaction. By introducing new type grow...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/57037 |
| _version_ | 1848759999664226304 |
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| author | Ren, T. Li, S. Zhang, Xinguang Liu, Lishan |
| author_facet | Ren, T. Li, S. Zhang, Xinguang Liu, Lishan |
| author_sort | Ren, T. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper focuses on the maximum and minimum solutions for a fractional order differential system, involving a p-Laplacian operator and nonlocal boundary conditions, which arises from many complex processes such as ecological economy phenomena and diffusive interaction. By introducing new type growth conditions and using the monotone iterative technique, some new results about the existence of maximal and minimal solutions for a fractional order differential system is established, and the estimation of the lower and upper bounds of the maximum and minimum solutions is also derived. In addition, the iterative schemes starting from some explicit initial values and converging to the exact maximum and minimum solutions are also constructed. |
| first_indexed | 2025-11-14T10:08:48Z |
| format | Journal Article |
| id | curtin-20.500.11937-57037 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:08:48Z |
| publishDate | 2017 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-570372017-10-02T03:26:18Z Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes Ren, T. Li, S. Zhang, Xinguang Liu, Lishan This paper focuses on the maximum and minimum solutions for a fractional order differential system, involving a p-Laplacian operator and nonlocal boundary conditions, which arises from many complex processes such as ecological economy phenomena and diffusive interaction. By introducing new type growth conditions and using the monotone iterative technique, some new results about the existence of maximal and minimal solutions for a fractional order differential system is established, and the estimation of the lower and upper bounds of the maximum and minimum solutions is also derived. In addition, the iterative schemes starting from some explicit initial values and converging to the exact maximum and minimum solutions are also constructed. 2017 Journal Article http://hdl.handle.net/20.500.11937/57037 10.1186/s13661-017-0849-y http://creativecommons.org/licenses/by/4.0/ SpringerOpen fulltext |
| spellingShingle | Ren, T. Li, S. Zhang, Xinguang Liu, Lishan Maximum and minimum solutions for a nonlocal p-Laplacian fractional differential system from eco-economical processes |
| title | Maximum and minimum solutions for a
nonlocal p-Laplacian fractional differential
system from eco-economical processes |
| title_full | Maximum and minimum solutions for a
nonlocal p-Laplacian fractional differential
system from eco-economical processes |
| title_fullStr | Maximum and minimum solutions for a
nonlocal p-Laplacian fractional differential
system from eco-economical processes |
| title_full_unstemmed | Maximum and minimum solutions for a
nonlocal p-Laplacian fractional differential
system from eco-economical processes |
| title_short | Maximum and minimum solutions for a
nonlocal p-Laplacian fractional differential
system from eco-economical processes |
| title_sort | maximum and minimum solutions for a
nonlocal p-laplacian fractional differential
system from eco-economical processes |
| url | http://hdl.handle.net/20.500.11937/57037 |