Solvability of nonlocal boundary value problem for a class of nonlinear fractional differential coupled system with impulses

Abstract

Abstract This paper is considered with a class of nonlinear fractional differential coupled system with fractional differential boundary value conditions and impulses. By means of the Banach contraction principle and the Schauder fixed point theorem, some sufficient criteria are established to guarantee the existence of solutions. As applications, some interesting examples are given to illustrate the effectiveness of our main results.

Keywords

• nonlinear fractional differential coupled system
• fractional differential boundary value conditions
• impulses
• existence of solutions
• fixed point theorem