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

Khadija   Elhakimy; Ali  El Mfadel; Said  Melliani

doi:10.5269/bspm.76306

Khadija Elhakimy Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco
Ali El Mfadel
Said Melliani Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco

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.

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