D Somjaiwang, P Sa Ngiamsunthorn – International Journal of Differential Equations, 2022
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-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.
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