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

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  • Dussadee Somjaiwang
  • Parinya Sa Ngiamsunthorn
  • Jaume Giné

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.

Suggested Citation

  • Dussadee Somjaiwang & Parinya Sa Ngiamsunthorn & Jaume Giné, 2022. "Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations," International Journal of Differential Equations, Hindawi, vol. 2022, pages 1-9, October.
    • Handle: RePEc:hin:jnijde:3973157
    DOI: 10.1155/2022/3973157
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