Open Access Research

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

Xiaozhi Zhang, Chuanxi Zhu* and Zhaoqi Wu

Author Affiliations

Department of Mathematics, Nanchang University, Nanchang, 330031, P.R. China

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Boundary Value Problems 2013, 2013:80  doi:10.1186/1687-2770-2013-80

Published: 8 April 2013

Abstract

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.

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