Almost periodic mild solutions to semilinear fuzzy differential equations

In this paper, we consider the semilinear fuzzy differential equation x´(t) = Ax(t)⊕ f(t, x(t)), t ∈ R, in a fuzzy-number kind space X, where A is the infinitesimal generator of an exponentially stable C₀-semigroup {T(t)}_t≥0 on X. Under suitable conditions on f, we prove the existence and uniqueness of an almost periodic mild solution to the semilinear fuzzy differential equation.