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Conference on Non-integer Order Calculus and Its Applications

RRNR 2018: Advances in Non-Integer Order Calculus and Its Applications pp 163–173Cite as

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

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Part of the book series: Lecture Notes in Electrical Engineering ((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.

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References

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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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Authors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Ewa Girejko, Dorota Mozyrska & Małgorzata Wyrwas

Authors
  1. Ewa Girejko
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  2. Dorota Mozyrska
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  3. Małgorzata Wyrwas
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Corresponding author

Correspondence to Dorota Mozyrska .

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Editors and Affiliations

  1. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Agnieszka B. Malinowska

  2. Faculty of Computer Science, Bialystok University of Technology, Białystok, Poland

    Dorota Mozyrska

  3. Faculty of Electrical Engineering, Bialystok University of Technology, Białystok, Poland

    Łukasz Sajewski

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Girejko, E., Mozyrska, D., Wyrwas, M. (2020). Fractional Cucker-Smale Type Models with the Caputo Variable-Order Operator. In: Malinowska, A., Mozyrska, D., Sajewski, Ł. (eds) Advances in Non-Integer Order Calculus and Its Applications. RRNR 2018. Lecture Notes in Electrical Engineering, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-030-17344-9_12

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