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.
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页数：18
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