The f(Q) gravity cosmological model with the dynamical structure of the FLRW universe

This paper discusses the universe’s accelerated expansion in the context of [Formula: see text] gravity theory, where [Formula: see text] is the nonmetricity scalar. We have considered two different forms of [Formula: see text] gravity, [Formula: see text], where [Formula: see text] is an arbitrary model parameter and [Formula: see text], where [Formula: see text] and [Formula: see text] are the free parameters. To analyze the solution of the Friedman equation and different cosmological parameters, we consider the well-established parameterization of the Hubble parameter [Formula: see text], where [Formula: see text] is the Hubble parameter at [Formula: see text] and [Formula: see text] and [Formula: see text] are arbitrary constants. We validate our model using various diagnostic techniques, including the Jerk, Om, and Statefinder diagnostic tools. We also verify the energy conditions for our chosen models. A thorough explanation of the outcomes of the model is given.