Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix

DOI10.1134/S0012266119060119zbMath1427.91052OpenAlexW2957425104WikidataQ127478828 ScholiaQ127478828MaRDI QIDQ2332108

N. N. Petrov

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119060119

zbMATH Keywords

fractional derivativesdifferential gamegroup pursuit problem

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Fractional derivatives and integrals (26A33) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (8)

MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES ⋮ Multiple capture of a given number of evaders in the problem of simple pursuit with phase restrictions on timescales ⋮ Linear group pursuit problem with fractional derivatives, simple matrices, and different possibilities of players ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ A linear group pursuit problem with fractional derivatives and different player capabilities ⋮ On a linear group pursuit problem with fractional derivatives ⋮ The problem of simple group pursuit with phase constraints in time scales ⋮ Differential games in fractional-order systems: inequalities for directional derivatives of the value functional

Cites Work

• Distribution of roots of Mittag-Leffler functions
• Group pursuit with state constraints in Pontryagin's almost periodic example
• Evasion from pursuers in a problem of group pursuit with fractional derivatives and phase constraints
• One problem of group pursuit with fractional derivatives and phase constraints
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