Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
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 re...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
Springer Verlag
2014
|
| Online Access: | http://hdl.handle.net/20.500.11937/12147 |
| Summary: | 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. |
|---|