Two fluid cosmological models in f(R) theory of gravitation

In the present paper, we have considered the Friedmann-Robertson-Walker universe in the frame work of f(R) gravity. The source of the gravitational fluid is the two co-moving perfect fluids: one fluid represents the matter content of the universe and the other modeling the cosmic microwave background radiation. Interacting and non-interacting cases of the two fluids are investigated. It is found that the universe is closed in the non-interacting Zeldovich fluid model and it is open at the present in the dust fluid model, whereas in interacting models, there is energy transfer from the radiation era to the matter era. Dynamical and kinematical properties of the models are also discussed.