### Dark Energy Cosmological Model in f(R,T) Gravity

#### Abstract

The dark energy model with EoS parameter is derived for hypersurface-homogenous space-time filled with perfect fluid source in the frame work of *f*(*R*, *T*)** **gravity (Harko et al., arXiv: 1104.2669v2 [gr-qc], 2011). To obtain a determinate solution, special law of variation for Hubble’s parameter proposed by Berman [(Nuvo Cimento B, 74,183(1983)] is used. We have also assumed that the scalar expansion is proportional to shear and the EoS parameter is proportional to skewness parameter. In fact, the possibility of reconstruction of the hypersurface-homogenous cosmology with an appropriate choice of a function *f*(*T*)** ** has been proved in *f*(*R*, *T*)** **gravity. It is observed that the EoS parameter, skewness parameters in the model turn out to be functions of cosmic time. Some physical and kinematical properties of the model are also discussed. We have also discussed the well known astrophysical phenomena, namely, look-back time, proper distance, luminosity distance, angular diameter distance with redshift.