In this paper, we reconstruct cosmological models in the framework of
f(R,T) gravity, where R is the Ricci scalar and T is the trace of the
stress-energy tensor. We show that the dust fluid reproduces ΛCDM,
phantom-non-phantom era and the phantom cosmology. Further, we reconstruct
different cosmological models including, Chaplygin gas, scalar field with some
specific forms of f(R,T). Our numerical simulation for Hubble parameter shows
good agreement with the BAO observational data for low redshifts z<2.Comment: 12 pages, 2 figure