Summary: Sufficient criteria are established for the existence and uniqueness of a weighted pseudo almost automorphic solution for some partial neutral functional differential equations, where the linear part is dominated by a Hille-Yosida operator of negative type with non dense domain. The working tools are based on extrapolation space theory and the Banach contraction mapping principle. We illustrate our main results by studying the existence and uniqueness of a weighted pseudo-almost automorphic solution for partial neutral functional differential equations.