Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance

被引：4

作者：

Xue, Tingting ^{[1
,2
]}

Liu, Wenbin ^{[1
]}

Zhang, Wei ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

[2] Xinjiang Inst Engn, Dept Basic, Urumqi 830000, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

fractional differential system; Sturm-Liouville boundary value conditions; resonance; Mawhin continuation theorem; NUMERICAL-SOLUTION; POSITIVE SOLUTIONS; SOLVABILITY;

D O I：

10.1186/s13662-017-1345-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the existence of solutions for a higher-order coupled system of fractional differential equations with Sturm-Liouville boundary value conditions at resonance. By applying Mawhin continuation theorem, some new existence results are established. Furthermore, two examples are supplied to demonstrate the main results.

引用

页数：18

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