Practically stability and Ulam-Hyers stability of fuzzy control Volterra Integro differential system under granular differentiability: a stability comparison

Abstract

In this study, the stability analysis of the solutions of a fuzzy control Volterra Integro differential system under granular differentiability has been examined for the first time in literature. Mainly, practical stability and Ulam-Hyers-Rassias stability have been investigated, and classical Lyapunov and Ulam-Hyers-Rassias stability have been compared. The comparison and stability aspects of the study are further illustrated by an example of a fuzzy differential equation solved using fuzzy granular Laplace transformation.