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In this paper, we first study the well-posedness of a class of McKean-Vlasov stochastic partial differential equations driven by cylindrical α-stable process, where α ∈ (1 , 2). Then by the method of the Khasminskii's time discretization, we prove the averaging principle of a class of multiscale McKean-Vlasov stochastic partial differential equations driven by cylindrical α-stable processes. Meanwhile, we obtain a specific strong convergence rate. [ABSTRACT FROM AUTHOR]

It is shown that the transition semigroup (Pt)t≥0corresponding to stochastic dissipative equations driven by α-stable is strong Feller and irreducible for α ∈ (1, 2). This result ensures the ergodicity for the equation. [ABSTRACT FROM PUBLISHER]