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

被引：4

作者：

Zhang, Xingqiu ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

fractional differential equations; integral boundary value problem; positive solution; semipositone; cone; EXISTENCE;

D O I：

10.1186/1687-2770-2012-123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：17

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