LAUSR

In the present communication, we investigated flat Friedmann-Lemaitre-Robertson-Walker mathematical model of universe in $f (R,T )$ theory of gravity with bulk viscous fluid as a source of energy. A system of modified field equations with cosmological constant has been solved by considering time-dependent deceleration parameter (DP) (Mishra et al. in Eur. Phys. J. Plus 127:137, 2012). Suitable assumption yields the scale factor as $a(t)=(\sinh (\eta t))^{\frac{1}{m}}$ , where, $\eta $ and $m>0$ are arbitrary constants. The authors have also observed the nature of various energy conditions graphically. In addition, we constrained the model using recent Hubble and Pantheon Type 1a supernova observational data and obtained best fit curves of Hubble parameter $H(z)$ and apparent magnitude $m_{B}(z)$ from $\chi ^{2}$ statistical test. The findings of a constructed model are in good agreement with the recently reported data.