Pseudo almost automorphy of stochastic neutral partial functional differential equations with Lévy noise

The paper introduces and studies the concepts of (Poisson) (μ1,μ2)-pseudo almost automorphy of class r for stochastic processes. Under suitable conditions on the coefficients, we establish the existence, and uniqueness of mild solutions, which are (μ1,μ2)-pseudo almost automorphic of class r in distribution for stochastic neutral partial functional differential equations with Lévy noise.