Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance

被引：5

作者：

Hu, Lei ^{[1
]}

Zhang, Shuqin ^{[2
]}

机构：

[1] Shandong Jiaotong Univ, Sch Sci, Jinan 250357, Peoples R China

[2] China Univ Min & Technol, Sch Sci, Beijing 100083, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

fractional differential equation; two-point boundary conditions; resonance; coincidence degree; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; SOLVABILITY; SYSTEM;

D O I：

10.1186/s13662-015-0543-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present the existence of solutions for a higher-order coupled fractional differential equations with the Caputo fractional derivative. Our main approach is the coincidence degree theory due to Mawhin. The most interesting point is the proof of the uniqueness of the solution for the higher-order coupled fractional differential equations at resonance. We give an example to demonstrate our results.

引用

页码：1 / 14

页数：14

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