Linear group pursuit problem with fractional derivatives, simple matrices, and different possibilities of players

DOI10.1134/s0012266123070078zbMath1522.91053OpenAlexW4386619345MaRDI QIDQ6048151

A. I. Machtakova, N. N. Petrov

Publication date: 14 September 2023

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266123070078

Mathematics Subject Classification ID

Pursuit and evasion games (49N75) Positional games (pursuit and evasion, etc.) (91A24) Fractional ordinary differential equations (34A08)

Cites Work

• Distribution of roots of Mittag-Leffler functions
• Game problems for fractional-order linear systems
• Solution to a zero-sum differential game with fractional dynamics via approximations
• Multiple capture in a group pursuit problem with fractional derivatives
• Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix
• Game Problems for Fractional-Order Systems
• Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints
• Riemann–Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games
• One problem of group pursuit with fractional derivatives and phase constraints
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
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