Stability of a Fractional Opinion Formation Model with and without Leadership Using the New Generalized Hattaf Fractional Derivative-Reference-Cited by-同舟云学术

Stability of a Fractional Opinion Formation Model with and without Leadership Using the New Generalized Hattaf Fractional Derivative

Published:2024-04-23 Issue: Volume:2024 Page:1-9
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ait Ichou Mohamed¹^ORCID,Hattaf Khalid²³^ORCID

Affiliation:

1. Laboratory RST-EMA ESEF, Ibn Zohr University of Agadir, Agadir, Morocco

2. Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340, Derb Ghalef, Casablanca, Morocco

3. Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Scik, Hassan II University of Casablanca, P.O. Box 7955 Sidi Othman, Casablanca, Morocco

Abstract

In this paper, we propose and analyze the dynamical behaviors of two opinion formation models, one with leadership and the other without leadership. The two proposed models are formulated by fractional differential equations (FDEs) with the frame of the new generalized Hattaf fractional (GHF) derivative. The stability in the sense of Mittag–Leffler is rigorously established for both models. The convergence of agents’ opinions to the consensus opinion is fully investigated. Numerical simulations are given to illustrate the analytical results.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/mpe/2024/6652993.pdf

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