19 citations · 92 across the 29 of their papers we have counts for
5 papers · 1 filter
Variational time-fractional Mean Field Games
Tang Qing, Fabio Camilli
We consider the variational structure of a time-fractional second order Mean Field Games (MFG) system with local coupling. The MFG system consists of time-fractional Fokker-Planck…
Memory effects in measure transport equations
Fabio Camilli, Raul De Maio
Transport equations with a nonlocal velocity field have been introduced as a continuum model for interacting particle systems arising in physics, chemistry and biology. Fractional…
A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time derivative
Fabio Camilli, Raul De Maio, Elisa Iacomini
We prove a representation formula of Hopf-Lax type for the solution of a Hamilton-Jacobi equation involving Caputo time-fractional derivative. Equations of these type are associate…
A measure theoretic approach to traffic flow optimization on networks
Simone Cacace, Fabio Camilli, Raul De Maio +1
We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise…
An ergodic problem for Mean Field Games: qualitative properties and numerical simulations
Simone Cacace, Fabio Camilli, Annalisa Cesaroni +1
This paper is devoted to some qualitative descriptions and some numerical results for ergodic Mean Field Games systems which arise, e.g., in the homogenization with a small noise l…