Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions

被引：48

作者：

Liu, Lishan ^{[1
,2
]}

Li, Hongdan ^{[1
]}

Liu, Chun ^{[1
]}

Wu, Yonghong ^{[2
]}

机构：

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

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Singular fractional differential equations; Riemann-Stieltjes integral boundary value problem; positive solution; fixed point theorem in cone;

D O I：

10.22436/jnsa.010.01.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of positive solutions for a class of singular fractional differential systems with coupled integral boundary conditions. By using the properties of the Green function, the mixed monotone method and the fixed point theory in cones, we obtain the existence and uniqueness results for the problem. The results obtained herein generalize and improve some known results including singular and non-singular cases. (C) 2017 All rights reserved.

引用

页码：243 / 262

页数：20

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