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.

In this paper, we investigate bounds on difference between two approximate solutions of fractional impulsive differential equation. Also some qualitative properties of solutions has been studied using fractional impulsive inequality.

In this paper, we consider impulsive integro-differential equations in Banach space and we establish the bound on the difference between two approximate solutions. We also discuss nearness and convergence of solutions of the problem under consideration. The impulsive integral inequality of Grownwall type is used to obtain results.