Path dependent McKean-Vlasov SDEs with Hölder continuous diffusion

In this paper, by using the Yamada-Watanabe approximation, well-posedness for one-dimensional path dependent SDEs with $ \alpha $($ \alpha\geq \frac{1}{2} $)-Hölder continuous diffusion is investigated, which together Banach fixed point theorem derives corresponding McKean-Vlasov SDEs. Moreover, interacting particle system also obtained. Finally, associated quantitative propagation of chaos in sense Wasserstein distance studied, combined Girsanov's transform yields total variation as well relative entropy.