Fractional kinetic equations

DOI10.1134/S0001434622090255zbMath1504.35559arXiv2206.02138MaRDI QIDQ2090559

Vassili N. Kolokol'tsov, M. S. Troeva

Publication date: 25 October 2022

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

Full work available at URL: https://arxiv.org/abs/2206.02138

zbMATH Keywords

interacting particlesfractional kinetic equationsfractional derivative of variable ordercontinuous time random walks (CTRW)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Cites Work

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• On a general kinetic equation for many–particle systems with interaction, fragmentation and coagulation
• Many Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security
• Differential Equations on Measures and Functional Spaces
• Fractional Calculus

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