Fixed point results for impulsive fuzzy integro - differential equations with state independent delay

Abstract

 This paper investigates the existence of mild solutions for a class of first-order nonlinear fuzzy integro-differential equations with impulsive effects, state-independent delay, and nonlocal conditions involving multiple delayed states. The proposed model captures discontinuous dynamics together with memory effects in a fuzzy framework. By applying the Krasnoselskii--Schaefer fixed point theorem, sufficient conditions ensuring the existence of mild solutions are derived. An illustrative example is presented to demonstrate the applicability of the theoretical results.