FRW cosmology in f(Q,T) gravity

In this paper, we considered the study of Friedmann-Robertson-Walker (FRW) model in framework $f(Q,T)$ gravity, an extension symmetric teleparallel recently defined by Y. Xu et al. \cite{Xu}. The non-linear $f(Q,T)=-\alpha Q-\beta T^2$, where $\alpha>0$ and $\beta>0$ are constants, is taken into account. equation state perfect fluid assumed 31 points Hubble data used to constrain value parameter. To explore evolution universe, numerical solutions cosmological implications such as parameter, deceleration apparent magnitude luminosity distance determined energy conditions examined. theoretical results parameter compared with $\Lambda$CDM model. Further, 57 Supernova (42 from cosmology project 15 Cal\'{a}n/ Tolono supernova survey) also have consistent distance.