MMN-4619

Existence of solutions to non-local uncertain differential equations under the ψ-Caputo fractional derivative

Fouad Ibrahim Abdou Amir; Aziz El Ghazouani; M’hamed El Omari; Said Melliani;

Abstract

In this manuscript, we look into the existence of solutions to a class of uncertain differential equations with non-local derivatives. The method relies on the Krasnosel’skii fixed point theorem as well as a lengthened Schauder fixed point theorem that is applicable on fuzzy metric spaces. This theorems implies that the topic in question has a fuzzy solution specified on a certain interval. Our strategy requires considering a linked integral problem wherein the aforementioned tools apply. We’ll wrap off with a physical incentive.


Vol. 26 (2025), No. 1, pp. 31-50
DOI: https://doi.org/10.18514/MMN.2025.4619


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