Fractional McKean-Vlasov and Hamilton-Jacobi-Bellman-Isaacs equations
type: Item
instance of: scholarly article
title: Fractional McKean-Vlasov and Hamilton-Jacobi-Bellman-Isaacs equations
zbMATH Open document ID: 1491.35434
DOI: 10.1134/S0081543821060134
author: Vassili Kolokoltsov
author: M. S. Troeva
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2022-01-28T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 7466410
zbMATH Keywords: fractional McKean-Vlasov-type equations
zbMATH Keywords: fractional HJB-Isaacs equations
zbMATH Keywords: mild solutions
zbMATH Keywords: classical solutions
zbMATH Keywords: Caputo-Djrbashian fractional derivative
zbMATH Keywords: generalized fractional derivatives
MaRDI profile type: Publication
cites work: Cauchy problems for some classes of linear fractional differential equations
cites work: Fractional calculus. Models and numerical methods
cites work: Q4746091
cites work: Viscosity Solutions of Hamilton-Jacobi Equations
cites work: Smoothing properties of McKean-Vlasov SDEs
cites work: Stochastic McKean-Vlasov equations
cites work: Generalised fractional evolution equations of Caputo type
cites work: Hadamard-type fractional calculus
cites work: Q4282622
cites work: Fractional kinetic hierarchies and intermittency
cites work: Fractional Differential Equations
cites work: Generalized Continuous-Time Random Walks, Subordination by Hitting Times, and Fractional Dynamics
cites work: Q3559179
cites work: On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations
cites work: Differential Equations on Measures and Functional Spaces
cites work: Regularity and Sensitivity for McKean-Vlasov Type SPDEs Generated by Stable-like Processes
cites work: On mean field games with common noise and McKean-Vlasov SPDEs
cites work: Q3457605
cites work: Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations
cites work: Q4039729
cites work: Particle representations for a class of nonlinear SPDEs
cites work: Correlation structure of fractional Pearson diffusions
cites work: Fractional Cauchy problems on bounded domains
cites work: Initial-value problem for a linear ordinary differential equation of noninteger order
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
cites work: Q5482385
cites work: Q3460094
full work available at URL: s0081543821060134
OpenAlex ID: W4205993684
description: scientific article; zbMATH DE number 7466410