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Fractional Cucker-Smale Type Models with the Caputo Variable-Order Operator

  • Ewa Girejko
  • Dorota MozyrskaEmail author
  • Małgorzata Wyrwas
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)

Abstract

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.

Keywords

Cucker-Smale model Fractional calculus Asymptotic stability 

Notes

Acknowledgment

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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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Faculty of Computer ScienceBialystok University of TechnologyBiałystokPoland

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