In this article we extend an axion F(R) gravity model, and apply the
holographic principle to describe in a unifying manner the early and the
late-time universe when the general equation of state (EoS) contains a bulk
viscosity. We assume a spatially flat Friedmann-Robertson-Walker (FRW) universe
model. We use a description based on the generalized infrared-cutoff
holographic dark energy proposed by Nojiri and Odintsov (2006, 2017), and
explore the evolution of the universe when the EoS describes the asymptotic
behavior between the dust in the early universe and the late universe. We
explore various forms of the bulk viscosity, and calculate analytical
expressions for the infrared cutoffs in terms of the particle horizon. In this
way we obtain a unifying description of the early and the late-time universe in
the presence of axion matter, via a viscous holographic fluid model.Comment: 7 pages, latex 2e, to appear in Int. J. Mod. Phys.