Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions

被引：0

作者：

Xie, Shengli ^{[1
]}

Xie, Yiming ^{[2
]}

机构：

[1] Anhui Jianzhu Univ, Sch Math & Phys, Urban Construct Coll, Hefei 230601, Anhui, Peoples R China

[2] Anhui Jianzhu Univ, Sch Civil Engn, Hefei 230601, Anhui, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2017年 / 18卷 / 01期

关键词：

singular fractional differential equations; nontrivial solution; topological degree; Riemann-Liouville fractional derivative; POSITIVE SOLUTIONS; COUPLED SYSTEM;

D O I：

10.1515/ijnsns-2016-0060

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper deals with the existence and multiplicity of nontrivial solutions of fractional multi-point boundary value problems for higher-order nonlinear singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples are given to illustrate our main results.

引用

页码：83 / 92

页数：10

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