An explicit Euler method for McKean-Vlasov SDEs driven by fractional Brownian motion

09/10/2022

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by   Jie He, et al.

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In this paper, we establish the theory of chaos propagation and propose an Euler-Maruyama scheme for McKean-Vlasov stochastic differential equations driven by fractional Brownian motion with Hurst exponent H ∈ (0,1). Meanwhile, upper bounds for errors in the Euler method is obtained. A numerical example is demonstrated to verify the theoretical results.