FLRW universe in Weyl type f(Q,T) gravity with variable q

In this paper, we study an isotropic and homogeneous Friedmann–Lemaitre–Robertson–Walker cosmological model in Weyl type Formula: see text gravity with a dynamic deceleration parameter. The solution of the field equations is found using a variable deceleration parameter, viz., Formula: see text, with q the deceleration parameter, n and m constants, and H the Hubble parameter Tiwari et al., Eur. Phys. J. Plus 132, 1 (2017). Then we calculate the values of the model parameters that are most likely to accord with the most recent observational data sets. We make use of the 57 CC points, SN and BAO datasets. We have contracted a graphical representation of the dynamical behavior of the cosmological parameters (the Hubble parameter, the deceleration parameter, the energy density and the equation of state) in terms of the redshift. To investigate the various eras of the universe, the evolution of the statefinder trajectory pairs Formula: see text and Formula: see text are studied. It is shown that the main energy component of the model is ordinary matter, which behaves initially as the SCDM model and then later as a fluid resembling quintessence, which behaves as the well-known Formula: see textCDM model. A suitable cosmological model is constructed after analyzing the physical parameters of the model, the Formula: see text diagnostic analysis.