Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations

被引：28

作者：

Wang, Yongqing ^{[1
]}

Liu, Lishan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

fractional differential equation; singular boundary value problem; positive solution; necessary and sufficient condition; BOUNDARY-VALUE-PROBLEMS; ORDER;

D O I：

10.1186/s13662-015-0540-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of positive solution to singular fractional differential equations involving Caputo fractional derivative. Necessary and sufficient condition for the existence of positive solution is obtained by means of the fixed point theorems on cones. In addition, the uniqueness results and the iterative sequences of the solution are also given.

引用

页数：14

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