Abstract
In this paper, we investigate the existence and uniqueness of solutions for a nonlocal boundary value problem of impulsive fractional q(k)-difference equations involving a new q(k)-shifting operator (a)Phi(qk) (m) = q(k)m+ (1 - q(k)) a. Our main results rely on Banach's contraction mapping principle, Leray-Schauder nonlinear alternative, and Rothe fixed point theorem. Examples illustrating the obtained results are also presented.