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Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations.
- Source :
-
International Journal of Differential Equations . 10/26/2022, Vol. 2022, p1-9. 9p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EXPONENTIAL stability
*FRACTIONAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 16879643
- Volume :
- 2022
- Database :
- Academic Search Index
- Journal :
- International Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 159949853
- Full Text :
- https://doi.org/10.1155/2022/3973157