Existence and uniqueness of nontrivial solutions to a system of fractional differential equations with Riemann-Stieltjes integral conditions

被引：8

作者：

Liu, Bingmei ^{[1
]}

Li, Junling ^{[1
]}

Liu, Lishan ^{[2
]}

Wang, Yongqing ^{[2
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou, Jiangsu, Peoples R China

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Riemann-Stieltjes integral; Topological degree; Uniqueness; BOUNDARY-VALUE PROBLEM; MULTIPLE POSITIVE SOLUTIONS; SIGN-CHANGING SOLUTIONS; COUPLED SYSTEM;

D O I：

10.1186/s13662-018-1762-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a system of fractional differential equations with Riemann-Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray-Schauder topological degree. Two examples are set up to testify the validity of the main results.

引用

页数：15

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