Controllability of Sobolev type fuzzy differential equation with non-instantaneous impulsive condition

Abstract

In this manuscript, we investigate the existence, uniqueness and controllability results of a Sobolev type fuzzy differential equation with noninstantaneous impulsive conditions. Non-linear functional analysis, Banach fixed point theorem and fuzzy theory are the main techniques used to establish these results. In support, an example is given to validate the obtained analytical findings.