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In this paper, the edge caching problem in ultra-dense fog radio accessnetworks (F-RAN) is investigated. Taking into account time-variant userrequests and ultra-dense deployment of fog access points (F-APs), we propose adynamic distributed edge caching scheme to jointly minimize the request servicedelay and fronthaul traffic load. Considering the interactive relationshipamong F-APs, we model the caching optimization problem as a stochasticdifferential game (SDG) which captures the temporal dynamics of F-AP states andincorporates user requests status. The SDG is further approximated as a meanfield game (MFG) by exploiting the ultra-dense property of F-RAN. In the MFG,each F-AP can optimize its caching policy independently through iterativelysolving the corresponding partial differential equations without anyinformation exchange with other F-APs. The simulation results show that theproposed edge caching scheme outperforms the baseline schemes under both staticand time-variant user requests.

Distributed Edge Caching in Ultra-dense Fog Radio Access Networks: A Mean Field Approach