Nonlocal effects in fuzzy dynamic systems related to existence and uniqueness of second-order neutral impulsive models

Abstract

In this paper, we investigate the existence and uniqueness of solutions for neutral impulsive fuzzy second-order differential equations subject to non-local conditions. By employing a fixed point approach, we derive sufficient criteria for the problem. The analysis is conducted within the framework of fuzzy numbers characterized by  normality, convexity, upper semi continuity, and compact support in the space $\mathcal{X}^n$. A comprehensive illustration is presented to demonstrate the practical applicability of the established theoretical results.