FRW perfect fluid cosmological models in R2-gravity

Four dimensional FRW perfect fluid cosmological model is obtained in the frame of f(R, T) theory of gravity, where R is Ricci scalar and T is the trace of the energy momentum tensor. The solutions of the field equations are obtained by taking the functional form f(R, T) = f(R) + f(T), where f(R) = R + alpha R-2 and f(T) = lambda T and scale factor as a(t) = a(1)e(ct)t(b) (hybrid scale factor) with alpha, lambda as constants, a(1) > 0 and b,c >= 0. The dynamical parameters namely deceleration parameter (q), Hubble parameter (H), volume (V) and expansion scalar (theta) are obtained. In addition to these we have studied energy conditions thoroughly. Also we have plotted graphs of all these parameters and energy conditions with respect to redshift (z) and these values matches with the recent observational data.