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In this paper, we have presented an accelerating cosmological model of theUniverse in an extended symmetric teleparallel gravity or $f(Q,T)$ gravity. Theparametric form of the Hubble parameter is, $H\left(z\right) =H_{0}\left[\alpha +\left( 1-\alpha \right) \left( 1+z\right) ^{n}\right] ^{\frac{3}{2n}}$,where $H_0$ and $n$ are constants and for $n=3$, the $\Lambda$CDM scenario canbe obtained. We have considered the logarithmic form of $f(Q,T)$ as,$f(Q,T)=-Q+\beta \log\left(\frac{Q}{Q_{0}}\right)+\gamma T$, where $\beta $ and$\gamma $ are the free model parameters. Using the Hubble, Baryon AcousticOscillations (BAO), and Type Ia Supernovae (SNe Ia) datasets, the present valueof the Hubble parameter and other free parameters are constrained. Furtherother cosmographic and dynamical parameters are presented using the obtainedconstrained values of the Hubble and free parameters. The model shows thequintessence behavior of the Universe at the present time. The present value ofthe EoS parameter is obtained as, $\omega_{0}=-0.56$ for the $Hubble+BAO+SNe$datasets. The energy conditions are presented and the violation of the strongenergy condition has been shown. We have performed the dynamical systemanalysis to validate the stability of the model. From the evolutionary plotobtained through the dynamical system variables, the present value of densityparameters have been obtained as $\Omega_m\approx0.3$ and$\Omega_{de}\approx0.7$.

Constrained $f(Q,T)$ gravity accelerating cosmological model and its dynamical system analysis