Numerical analysis of behaviour of the Cucker-Smale type models with fractional operators

The behaviour of fractional-order multi-agent discrete-time systems is examined by numerical analysis. We consider the Cucker-Smale type models with fractional operators. The asymptotic stability of a class of linear fractional discrete-time systems as a tool providing a consensus in the nonlinear fractional discrete-time systems is investigated. The proposed results are based on linearization method of the considered multi-agent system. Interesting examples illustrate the effectiveness of the derived results.