Modeling of FRW cosmology in f(R,T) gravity with viscous fluid

In this study, Friedmann Robertson Walker (FRW) cosmological models for [Formula: see text] with bulk viscosity are constructed in the [Formula: see text] theory of gravity. We obtain the exact solution of the equation by assuming the time-varying deceleration parameter [Formula: see text], where [Formula: see text] is a constant. The result of [Formula: see text] is in the transition from a previously decelerating universe to the current accelerating universe, which is characterized by a time-dependent deceleration parameter. Moreover, we have used 46 observational Hubble data sets to restrict the parameters of our derived model. Some cosmological parameters have been studied about the nature of the proposed model universe. In this research, the model has specific solutions in [Formula: see text] gravity with viscous fluid to support the concept of dark energy and the universe’s accelerated expansion due to the substantial negative pressure involved. As such, our model can be considered a realistic one.