Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation
We study the extremal solutions of a class of fractional integro-differential equation with integral conditions on infinite intervals involving the p-Laplacian operator. By means of the monotone iterative technique and combining with suitable conditions, the existence of the maximal and minimal solu...
| Main Authors: | , , |
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| Format: | Journal Article |
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SpringerOpen
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/15585 |
| _version_ | 1848748933169283072 |
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| author | Wang, Y. Liu, Lishan Wu, Yong Hong |
| author_facet | Wang, Y. Liu, Lishan Wu, Yong Hong |
| author_sort | Wang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the extremal solutions of a class of fractional integro-differential equation with integral conditions on infinite intervals involving the p-Laplacian operator. By means of the monotone iterative technique and combining with suitable conditions, the existence of the maximal and minimal solutions to the fractional differential equation is obtained. In addition, we establish iterative schemes for approximating the solutions, which start from the known simple linear functions. Finally, an example is given to confirm our main results. |
| first_indexed | 2025-11-14T07:12:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-15585 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:12:54Z |
| publishDate | 2015 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-155852017-09-13T16:00:10Z Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation Wang, Y. Liu, Lishan Wu, Yong Hong infinite intervals p-Laplacian operator monotone iterative method extremal solutions fractional differential equation We study the extremal solutions of a class of fractional integro-differential equation with integral conditions on infinite intervals involving the p-Laplacian operator. By means of the monotone iterative technique and combining with suitable conditions, the existence of the maximal and minimal solutions to the fractional differential equation is obtained. In addition, we establish iterative schemes for approximating the solutions, which start from the known simple linear functions. Finally, an example is given to confirm our main results. 2015 Journal Article http://hdl.handle.net/20.500.11937/15585 10.1186/s13662-015-0358-1 SpringerOpen fulltext |
| spellingShingle | infinite intervals p-Laplacian operator monotone iterative method extremal solutions fractional differential equation Wang, Y. Liu, Lishan Wu, Yong Hong Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title_full | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title_fullStr | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title_full_unstemmed | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title_short | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| title_sort | extremal solutions for p-laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation |
| topic | infinite intervals p-Laplacian operator monotone iterative method extremal solutions fractional differential equation |
| url | http://hdl.handle.net/20.500.11937/15585 |