Weak and Strong Averaging Principle for Non‐Autonomous Slow‐Fast Mckean–Vlasov Sdes With Almost Periodic Coefficients

ABSTRACT In this paper, we investigate the averaging principle for non‐autonomous slow‐fast McKean–Vlasov stochastic differential equations (SDEs) characterized by almost periodic coefficients. We begin by establishing the existence and uniqueness of strong solutions with non‐Lipschitz coefficients. Subsequently, we explore the tightness of the slow component concerning the time scale parameter . We then examine the properties of the frozen equation associated with the fast component. Finally, we demonstrate that the slow component converges to the averaged equation in probability and mean‐square under different conditions, as goes to zero, respectively.