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Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem

Publish place: Sahand Communications in Mathematical Analysis، Vol: 22، Issue: 1
Publish Year: 1404
Type: Journal paper
Language: English
View: 65

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Link to this Paper:
https://civilica.com/doc/2172623

Document National Code:

JR_SCMA-22-1_006

Index date: 4 February 2025

Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem abstract

The primary purpose of this paper is to investigate the existence of two distinct types of fuzzy mild solutions for fuzzy fractional evolution equations under Caputo's gH-differentiability. The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem appropriate for fuzzy metric spaces, and some elementary fuzzy fractional calculus tools.

Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem Keywords:

Fuzzy fractional evolution equations , Fuzzy semigroups , fuzzy Caputo fractional gH-derivative , Krasnosel’skii fixed point theorem

Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem authors

Ismail Airou

Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.

Ali El Mfadel

Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.

Elomari Mhamed

Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, Beni Mellal, Morocco.

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