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
收藏
页数:15
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