Expansion behaviors of Gong–Zhang and Chevallier–Polarski–Linder dark energy model universe in f(R,T) gravity

The expansion dynamics of the universe in [Formula: see text] gravity is considered with Gong and Zhang and Chevallier, Polarski and Linder kinds of dark energy Equation of State (EoS) parameter. By assuming the [Formula: see text] gravity form [Formula: see text] with [Formula: see text], we get the Hubble parameters in terms of redshift [Formula: see text]. We obtain the best-fit values for each model by running a Markov Chain Monte Carlo (MCMC). The best-fit parameters are used to differentiate both models to [Formula: see text]CDM. The evolution of the EoS parameter, energy density and pressure is thoroughly studied to determine the evolution of the universe. Recently, we see that our derived model undertakes a transition from a deceleration to an acceleration for both models. Moreover, the data represent a quintessence nature of the EoS for both models.