Existence of solutions for fuzzy fractional differential equations under Caputo fractional derivatives approach

Abstract

This paper investigates the existence of solutions for a class of fuzzy differential equations with nonlocal derivatives. By utilizing an extended version of Krasnosel’skii’s fixed point theorem within the context of fuzzy metric spaces, we demonstrate that the problem has a fuzzy solution defined over a specified interval. The approach includes analyzing the corresponding integral problem to which the theorem is applied. The paper concludes with a discussion on potential physical applications.