We construct cosmological model in nonmetricity scalar functional gravitational Lagrangian f (Q) which describes the dynamical evolution of the late accelerating universe. Cosmological models are constructed considering different functional of f (Q) gravity where Q in the gravitational action. We obtain cosmological model probing late universe with a constant jerk parameter. The observational constraints that are imposed on the model parameters for a realistic scenario estimated using the observational Hubble data and the Pantheon dataset. The evolution of the deceleration parameter, energy density and the equation of state (EoS) parameter are also explored. The transition of the universe from a deceleration to an accelerating phase is investigated in different framework of f (Q) theories. We also analyzed the variation of the effective EoS parameter and found that the matter content in the universe favours quintessence type fluid in all the f (Q) -gravity. The energy conditions for a realistic scenario are examined and noted that the effective fluid violates the strong energy condition.
Roy et al. (Tue,) studied this question.