Advances in Difference Equations | |
Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters | |
Ying Wang1  Yonghong Wu2  Lishan Liu3  | |
[1] School of Mathematical Sciences, Qufu Normal University, Qufu, People’School of Science, Linyi University, Linyi, People’s Republic of China | |
关键词: positive solutions; fractional differential system; coupled integral boundary conditions; singular; | |
DOI : 10.1186/1687-1847-2014-268 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
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. MSC:34B16, 34B18.
【 授权许可】
CC BY
【 预 览 】
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