Coupled system of fractional differential equations with impulsive and nonlocal coupled boundary conditions

Abstract

In this paper, we study existence and uniqueness of solutions for a coupled system of fractional differential equations of Caputo-type subject to nonlocal coupled and impulsive boundary conditions. The results are based on contraction principle and a generalized form of Krasnoselskii’s fixed point theorem (Avramescu and Vladimirescu in Fixed Point Theory 4(1), 3–13, 2003). An example is presented to illustrate the applicability of results.