Description
In this paper, we investigate the cosmic expansion scenarios within the framework of $f(Q, T)$ gravity by using the affine equation of state (EoS) parameter. Specifically, we consider the linear form of $f(Q, T)= Q+ \beta T $, where $\beta$ is a free model parameter. We use the Bayesian statistical methods, specifically the $\chi^{2}$ minimization technique to constrain the model parameters using the Cosmic Chronometer (CC) data, Pantheon+SH0ES and DESI BAO data. We further analyse the characteristics of the derived cosmological model. A comprehensive study of the energy density, pressure, equation of state parameter, cosmographic parameters and Energy condition are carried out to understand the universe's evolution in the model and $H_{0}$ tension also discuss for this model. The determination of the universe’s present age for this model is within $1\sigma$ with the planck results.
