Existence results of nonlocal boundary value problem for a nonlinear fractional differential coupled system involving fractional order impulses

In this paper, we study the nonlocal boundary value problem for a nonlinear fractional differential coupled system with fractional order impulses. Applying Nonlinear Alternative of Leray–Schauder, we obtain some new existence results for this system. As application, an interesting example is given to illustrate the effectiveness of our main result.