Observational constraints on the wet dark fluid model in the fractal gravity

A flat Friedmann–Robertson–Walker (FRW) cosmological model with Wet Dark Fluid has been studied based on fractal gravity. The exact solution of the field equations is obtained using linear time-varying deceleration parameter (Akars̈u and Dereli, 2012) and assuming fractal parameter $\xi \ne 0$. The model parameters involved in the model have been constrained using the Hubble datasets $H\left(z\right)$ of 77 data points, known as cosmic chronometers (CC), recently published Pantheon, and the joint data (CC+Pantheon samples). Additionally, we compare our model with $\Lambda$CDM in standard cosmology via error bar trajectories. We study the physical and the cosmographic parameters, such as the Hubble parameter $H\left(z\right)$, deceleration parameter $q\left(z\right)$, and the higher derivatives of the deceleration parameter $q\left(z\right)$, etc. under cosmic observations. It is observed that our model transits from a decelerating state to an accelerating state at $ztr\approx 2.764$. The other astrophysical parameters such as the jerk parameter and snap parameter are also discussed. Finally, we conclude that our model is an accelerating quintessence dark energy model.