Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
| dc.contributor.author | Wang, Y. | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T11:29:03Z | |
| dc.date.available | 2017-01-30T11:29:03Z | |
| dc.date.created | 2015-10-29T04:09:41Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Wang, Y. and Liu, L. and Wu, Y.H. 2014. Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. Advances in Difference Equations. 2014: Article ID 268. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/12147 | |
| dc.identifier.doi | 10.1186/1687-1847-2014-268 | |
| dc.description.abstract |
In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results. | |
| dc.publisher | Springer Verlag | |
| dc.title | Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters | |
| dc.type | Journal Article | |
| dcterms.source.volume | 2014 | |
| dcterms.source.number | 1 | |
| 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 |