MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES

DOI10.15826/umj.2022.1.008zbMath1500.91017OpenAlexW4288708974MaRDI QIDQ5042217

N. N. Petrov, A. I. Machtakova

Publication date: 19 October 2022

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj163

zbMATH Keywords

fractional derivativesdifferential gameevadergroup pursuitpursuer

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Positional games (pursuit and evasion, etc.) (91A24)

Related Items (1)

Nikolai Nikandrovich Petrov. To anniversary

Cites Work

• Matrix resolving functions in game problems of dynamics
• Multiple capture in Pontryagin's recurrent example
• Multiple capture in Pontryagin's recurrent example with phase constraints
• Distribution of roots of Mittag-Leffler functions
• \(k\)-capture in multiagent pursuit evasion, or the lion and the hyenas
• Quasilinear controlled processes under conflict
• Extremal shift to accompanying points in a positional differential game for a fractional-order system
• Method of resolving functions in the theory of conflict-controlled processes
• Matrix resolving functions in dynamic games of approach
• Multiple capture of given number of evaders in linear recurrent differential games
• Strategies of group approach in the method of resolving functions for quasilinear conflict-controlled processes
• Group pursuit problem in a differential game with fractional derivatives, state constraints, and simple matrix
• Simultaneous multiple capture in a conflict-controlled process
• The problem of simple group pursuit with phase constraints in time scales
• Capture of two coordinated evaders in a problem with fractional derivatives, phase restrictions and a simple matrix
• Pursuit of Rigidly Coordinated Evaders in a Linear Problem with Fractional Derivatives, a Simple Matrix, and Phase Restrictions
• Mittag-Leffler Functions, Related Topics and Applications
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: MATRIX RESOLVING FUNCTIONS IN THE LINEAR GROUP PURSUIT PROBLEM WITH FRACTIONAL DERIVATIVES