EXISTENCE AND CONTROLLABILITY OF MILD SOLUTION OF IMPULSIVE INTEGRO-DIFFERENTIAL INCLUSIONS

Abstract

In this work, existence results for impulsive integro-differential inclusion by using Martelli and Covitz-Nadler fixed point theorems (FPT) has been studied and proposed improvement for some of the results with the help of impulsive inequality. Also controllability results has been investigated for impulsive integro-differential inclusion problems. This study will provide useful insights for design problems in engineering leading to controllability solutions of Integro differential equation subjected to impulsive perturbations taking into consideration of nonlocal and delay conditions.