Solvability for a coupled system of fractional differential equations with impulses at resonance

Boundary value problems

Chuanxi Zhu¹  Zhaoqi Wu¹  Xiaozhi Zhang¹ 

[1] Department of Mathematics, Nanchang University, Nanchang, P.R. China

关键词: coupled system;    impulsive fractional differential equations;    at resonance;    coincidence degree;   

DOI  :  10.1186/1687-2770-2013-80

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some Banach spaces are introduced. Based on these spaces and the coincidence degree theory, a 2m-point boundary value problem for a coupled system of impulsive fractional differential equations at resonance is considered, and the new criterion on existence is obtained. Finally, an example is also given to illustrate the availability of our main results. MSC:34A08, 34B10, 34B37.

【 授权许可】

CC BY