On two problems of pursuit of a group of evaders in differential games with fractional derivatives

DOI10.35634/vm240105zbMATH Open1537.91043MaRDI QIDQ6540248

A. I. Machtakova, N. N. Petrov

Publication date: 15 May 2024

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

zbMATH Keywords

differential gamefractional derivativeevadergroup pursuitpursuer

Mathematics Subject Classification ID

Positional games (pursuit and evasion, etc.) (91A24) Fractional ordinary differential equations (34A08)

Cites Work

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• Matrix resolving functions in game problems of dynamics
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• Multiplayer pursuit-evasion games in three-dimensional flow fields
• Problem of pursuit of a group of coordinated evaders in linear recurrent differential games
• Multiple Pursuer Multiple Evader Differential Games
• MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES
• Multiplayer Reach-Avoid Games via Pairwise Outcomes
• One problem of group pursuit with fractional derivatives and phase constraints
• Set-valued analysis
• Linear group pursuit problem with fractional derivatives, simple matrices, and different possibilities of players
• The method of resolving functions for solving a pursuit problem with integral constraints on player controls
• On a group pursuit problem on time scales

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