Positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions

Boundary value problems

Xingqiu Zhang¹ 

[1] School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, P.R. China

关键词: fractional differential equations;    integral boundary value problem;    positive solution;    semipositone;    cone;   

DOI  :  10.1186/1687-2770-2012-123

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, by employing a fixed point theorem in cones, we investigate the existence of a positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions. We also obtain some relations between the solution and Green’s function. MSC: 26A33, 34B15, 34B16, 34G20.

【 授权许可】

CC BY