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

Ewa Girejko , Dorota Mozyrska , Małgorzata Wyrwas

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.
Author Ewa Girejko (FCS / DM)
Ewa Girejko,,
- Department of Mathematics
, Dorota Mozyrska (FCS / DM)
Dorota Mozyrska,,
- Department of Mathematics
, Małgorzata Wyrwas (FCS / DM)
Małgorzata Wyrwas,,
- Department of Mathematics
Pages163-173
Publication size in sheets0.5
Book Malinowska Agnieszka, Mozyrska Dorota, Sajewski Łukasz (eds.): Advances in Non-Integer Order Calculus and Its Applications, Lecture Notes in Electrical Engineering, vol. 559, 2020, Springer, ISBN 978-3-030-17344-9, 307 p., DOI:10.1007/978-3-030-17344-9
Keywords in EnglishCucker-Smale model Fractional calculus Asymptotic stability
ASJC Classification2209 Industrial and Manufacturing Engineering
DOIDOI:10.1007/978-3-030-17344-9_12
Internal identifierROC 19-20
Languageen angielski
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 26-03-2020, MonographChapterAuthor
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.216
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