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Abstract

This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.

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Authors and Affiliations

Ricardo Almeida
Rafał Kamocki
Agnieszka B. Malinowska
Tatiana Odzijewicz

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