Impulsive fractional q-integro-difference equations with separated boundary conditions

Abstract

In this paper, we discuss the existence of solutions for impulsive fractional q-integro-difference equations with separated boundary conditions. Existence results are proved via fixed point theorems due to Krasnoselskii and O'Regan, while the uniqueness of solutions is accomplished by means of Banach's contraction mapping principle. Examples illustrating the obtained results are also presented.