Abstract

We study the existence and uniqueness of a weighted pseudo-almost periodic (mild) solution to the semilinear fractional equation ∂ t α u = A u + ∂ t α − 1 f ( ⋅ , u ) , 1 < α < 2 , where A is a linear operator of sectorial negative type. This article also deals with the existence of these types of solutions to abstract partial evolution equations.

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