Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

被引：32

作者：

Hao, Xinan ^{[1
]}

Wang, Huaqing ^{[2
]}

机构：

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

[2] Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R China

来源：

OPEN MATHEMATICS | 2018年 / 16卷

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Positive solutions; Semipositone; Singular fractional differential systems; Integral boundary conditions; EQUATIONS; ORDER; EXISTENCE; UNIQUENESS; MODEL;

D O I：

10.1515/math-2018-0055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions are obtained. An example is given to illustrate the results.

引用

页码：581 / 596

页数：16

共 53 条

[1] Fractional calculus and fractional differential equations in nonreflexive Banach spaces [J].