Controllability results for a Volterra integro dynamic inclusion with impulsive condition on time scales

Abstract

The main motive here is to establish the controllability results for a Volterra integro dynamic inclusion with the impulsive condition on time scales. Fixed point theorem for multivalued maps due to Dhage has been used to establish the main results. Moreover, we give the controllability results for the taken problem with nonlocal effect. Also, an example for two different time scales is given to validate the utilization of these analytical outcomes.