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On the Existence and Uniqueness of Fuzzy Mild Solution of Fractional Evolution Equations

2024; Volume: 49; Issue: 6 Linguagem: Inglês

10.46793/kgjmat2506.949g

2406-3045

Aziz El Ghazouani, Fouad Ibrahim Abdou Amir, M’hamed Elomari, Saïd Melliani,

Fractional Differential Equations Solutions

In this paper, the nonlocal Cauchy problem is discussed for the fuzzy fractional evolution equations in an arbitrary Banach space for order q ∈ (1, 2) and the criteria on the existence and uniqueness of mild fuzzy solutions are obtained by using Schauder’s fixed point theorem. An example to illustrate the applications of main results is also given.