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

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  • Mohamed Ait Ichou
  • Khalid Hattaf
  • Abdellatif Ben Makhlouf

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.

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  • Mohamed Ait Ichou & Khalid Hattaf & Abdellatif Ben Makhlouf, 2024. "Stability of a Fractional Opinion Formation Model with and without Leadership Using the New Generalized Hattaf Fractional Derivative," Mathematical Problems in Engineering, Hindawi, vol. 2024, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:6652993
    DOI: 10.1155/2024/6652993
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