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

被引：0
|
作者：
Girejko, Ewa [1 ]
Mozyrska, Dorota [1 ]
Wyrwas, Malgorzata [1 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, Bialystok, Poland
来源：
ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS | 2020年 / 559卷
关键词：
Cucker-Smale model; Fractional calculus; Asymptotic stability; CONSENSUS; DIFFERENCE; BEHAVIOR;
D O I：
10.1007/978-3-030-17344-9_12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：163 / 173
页数：11
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