New link between the fractional p-Laplacian operators and a class of McKean-Vlasov flight type processes

We prove the existence of a McKean--Vlasov stochastic process with jumps associated to the nonlinear parabolic equation $\partial_t u = Δ_p u + Δ_p^s u$ in $\R^N\times(0,\infty)$, where $Δ_p$ is the $p$-Laplacian and $Δ_p^s$ is the fractional $p$-Laplacian. The algorithm used is the following : firs