Behavior of Tsallis holographic dark energy for Marder universe

In this study, Tsallis holographic dark energy (THDE) was discussed within the frame of [Formula: see text] gravitational theory and considering the homogeneous and anisotropic Marder universe. The Hubble horizon was taken into consideration as infrared cutoff of the system. To get the field equations, solutions were used for the THDE density and the anisotropy parameter. Furthermore, a variety of physical parameters such as deceleration parameter, anisotropy parameter and volume have been examined. They have been also been visually examined with the help of graphics. Different values of deceleration parameter consistent with different observational data were mentioned. In addition to this, cosmological parameters like jerk, lerk and snap parameters were analyzed. Statefinder diagnostics which are helpful tools for the separation of dark energy models have been examined. By the calculation and representation of the overall density parameter ([Formula: see text]) it can be concluded that the anisotropic nature of model vanishes showing a tendency to isotropy in accordance with present universe. Finally, the physical and geometrical nature of the model was studied, collating with relevant studies and observations.