Solvability for a coupled system of fractional differential equations with impulses at resonance
Department of Mathematics, Nanchang University, Nanchang, 330031, P.R. China
Boundary Value Problems 2013, 2013:80 doi:10.1186/1687-2770-2013-80Published: 8 April 2013
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.