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

Advances in Difference Equations

Shuqin Zhang¹  Lei Hu² 

[1] School of Science, China University of Mining and Technology, Beijing, China;School of Science, Shandong Jiaotong University, Jinan, China

关键词: fractional differential equation;    two-point boundary conditions;    resonance;    coincidence degree;    34A08;    34B15;    34F15;   

DOI  :  10.1186/s13662-015-0543-2

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY