Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

Advances in Difference Equations

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