Existence Results for Impulsive Fractional q-Difference Equation with Antiperiodic Boundary Conditions

الملخص EN

In this paper, we investigate the impulsive fractional q-difference equation with antiperiodic conditions.

The existence and uniqueness results of solutions are established via the theorem of nonlinear alternative of Leray-Schauder type and the Banach contraction mapping principle.

Two examples are given to illustrate our results.