The data traffic volume of the 6th generation (6G) mobile communication networks is huge,
and there are novel challenges in various communications services and scenarios. This …

This paper develops strong convergence of the Euler–Maruyama (EM) schemes for
approximating McKean–Vlasov stochastic differential equations (SDEs). In contrast to the …

We study a McKean–Vlasov optimal control problem with common noise in order to
establish the corresponding limit theory as well as the equivalence between different …

The random batch method provides an efficient algorithm for computing statistical properties
of a canonical ensemble of interacting particles. In this work, we study the error estimates of …

In this paper, we investigate the time-changed McKean–Vlasov stochastic differential
equations (MV-SDEs) via interacting particle systems, where the MV-SDEs contain two drift …

In this paper, we establish the locally diffeomorphic property of the solution to McKean-
Vlasov stochastic differential equations defined in the Euclidean space. Our approach is …

This article focuses on a type of stochastic McKean-Vlasov equation in the G-framework (G-
SMVE) and addresses the stability issue for delay stochastic McKean-Vlasov equations in …

We study the strong convergence of the Carathéodory numerical scheme for a class of
nonlinear McKean-Vlasov stochastic differential equations (MVSDE). We prove, under …

The well-posedness is established for multi-dimensional mean-field stochastic Volterra
equations with Lipschitz continuous coefficients and allowing for singular kernels as well as …

We establish stability and pathwise uniqueness of solutions to Wiener noise driven McKean-
Vlasov equations with random coefficients, which are allowed to be non-Lipschitz …