Viability of Bianchi type V Universe in $f(R,T)= f_{1}(R)+f_{2}(R)f_{3}(T)$ gravity.

In this paper, we have searched the existence of non-minimal matter-geometry coupling in Bianchi V space-time in the framework of f(R, T) gravity. To solve the field equations, we have considered a special law of variation for the average Hubbles parameter that yields the power law for scale factor and also constructed a Lagrangian model which is based on f(R, T) = f1(R) + f2(R)f3(T) and it's functional forms f1(R) = f2(R) = R and f3(T) = zeta T with zeta as a constant. We find the constraints on Hubble constant H_{0} and free parameter n with observational Hubble dataset and obtain pretty satisfactory results. The dynamical features of the model and transitional behavior of equation of state (EOS) parameter are analyzed. We examine the nature of physical parameters and validity of energy conditions as well as stability condition. We also present the Om(z) and statefinder diagnostic analysis for the derived model.