Convergence rate of the Euler-Maruyama scheme to density dependent SDEs driven by -stable additive noise

In this paper, we establish the weak convergence rate of density-dependent stochastic differential equations with bounded drift driven by -stable processes with (1, 2). The well-posedness of these equations has been previously obtained in wu2023well. We derive an explicit convergence rate in total variation for the Euler-Maruyama scheme, employing a technique rooted in hao2023.