Dynamical behavior of dark energy universe models in Weyl-type f(Q,T) gravity

In this paper, we explore the dynamical properties of cosmological parameters in the theory of “Weyl-type [Formula: see text] gravity” proposed in [Eur. Phys. J. C 80 (2020) 449], using a flat, homogeneous, and spatially isotropic spacetime metric. We obtain some analytic solutions of the derived field equations from non-conservative “Weyl-type [Formula: see text] theory”. For the joint study of [Formula: see text] and the Pantheon+SH0ES sample of Supernovae Ia datasets, we use the Monte Carlo Markov Chain (MCMC) approach to restrict model parameters. We find the Hubble constant [Formula: see text] km/s/Mpc, the current value of the Weyl vector [Formula: see text], and the value of the matter-geometry coupling constant [Formula: see text] for the dusty universe. For the radiation-dominated universe, we estimate [Formula: see text] km/s/Mpc, [Formula: see text], and [Formula: see text]. Employing these constrained model parameters’ values, we investigate the cosmic dynamics of the effective equation of state (EoS) parameter [Formula: see text], the deceleration parameter [Formula: see text], the Weyl vector [Formula: see text], and the growth of [Formula: see text]. The values of [Formula: see text] found in the range [Formula: see text], the value of [Formula: see text] found in the range [Formula: see text], and the Weyl vector [Formula: see text] in the range [Formula: see text] over the redshift range [Formula: see text]. The transition redshift measured as [Formula: see text]. We find a linear relationship between the Weyl vector [Formula: see text] and Hubble function [Formula: see text]. Also, we have analyzed the Om diagnostic analysis and Statefinder analysis to explore the category of the models. We estimate the current age of the universe as [Formula: see text] Gyrs and [Formula: see text] Gyrs, respectively, for both models.