Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation
| dc.contributor.author | Wang, Y. | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T11:50:40Z | |
| dc.date.available | 2017-01-30T11:50:40Z | |
| dc.date.created | 2015-05-22T08:32:23Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Wang, Y. and Liu, L. and Wu, Y.H. 2015. Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation. Advances in Difference Equations. 2015: 24 (14 p.). | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/15585 | |
| dc.identifier.doi | 10.1186/s13662-015-0358-1 | |
| dc.description.abstract |
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. | |
| dc.publisher | SpringerOpen | |
| dc.subject | infinite intervals | |
| dc.subject | p-Laplacian operator | |
| dc.subject | monotone iterative method | |
| dc.subject | extremal solutions | |
| dc.subject | fractional differential equation | |
| dc.title | Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation | |
| dc.type | Journal Article | |
| dcterms.source.volume | 24 | |
| dcterms.source.issn | 1687-1839 | |
| dcterms.source.title | Advances in Difference Equations | |
| curtin.note |
This open access article is distributed under the Creative Commons license | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access |