  We consider FRW cosmology in non-local modified gravity. Its local
scalar-tensor formulation is developed. It is explicitly demonstrated that such
theory may lead to the unification of early-time inflation with late-time
cosmic acceleration. The quintessence or phantom era may emerge for specific
form of the action. The coupled non-local-F(R) gravity is also investigated. It
is shown that such theory being consistent with Solar System tests may lead to
the known universe history sequence: inflation, radiation/matter dominance and
dark epoch.
