Fractional Cucker-Smale Type Models with the Caputo Variable-Order Operator
In the paper fractional Cucker–Smale models with the Caputo variable-order operator are considered. Applying linearisation of the introduced nonlinear system, we provide convergence results to consensus. Our results give the convergence to flocking state in both, continuous and discretized systems.
KeywordsCucker-Smale model Fractional calculus Asymptotic stability
The work was supported by the Polish funds of the National Science Center, granted on the basis of decision DEC-2014/15/B/ST7/05270.
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