Emergent dynamics of various Cucker–Smale type models with a fractional derivative

In this paper, we demonstrate emergent dynamics of various Cucker–Smale type models, especially standard Cucker–Smale (CS), thermodynamic Cucker–Smale (TCS), and relativistic Cucker–Smale (RCS) with a fractional derivative in time variable. For this, we adopt the Caputo fractional derivative as a wi...

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Bibliographic Details
Main Authors: Hyunjin Ahn, Myeongju Kang
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023798?viewType=HTML