  We examine a viscous Cahn-Hilliard phase-separation model with memory and
where the chemical potential possesses a nonlocal fractional Laplacian
operator. The existence of global weak solutions is proven using a Galerkin
approximation scheme. A continuous dependence estimate provides uniqueness of
the weak solutions and also serves to define a precompact pseudometric. This,
in addition to the existence of a bounded absorbing set, shows that the
associated semigroup of solution operators admits a compact connected global
attractor in the weak energy phase space. The minimal assumptions on the
nonlinear potential allow for arbitrary polynomial growth.
