Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations

Dussadee Somjaiwang, Parinya Sa Ngiamsunthorn and Jaume Giné

International Journal of Differential Equations, 2022, vol. 2022, 1-9

Abstract: This paper studies the dynamics of an opinion formation model with a leader associated with a system of fractional differential equations. We applied the concept of α-exponential stability and the uniqueness of equilibrium to show the consensus of the followers with the leader. A sufficient condition for the consensus is obtained for both fractional formation models with and without time-dependent external inputs. Moreover, numerical results are provided to illustrate the dynamical behavior.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:3973157

DOI: 10.1155/2022/3973157

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