  We study the cosmological consequences of interacting Tsallis holographic
dark energy model in the framework of the fractal universe, in which, the
Hubble radius is considered as the IR cut-off. We drive the equation of state
(EoS) parameter, deceleration parameter and the evolution equation for the
Tsallis holographic dark energy density parameter. Our study shows that this
model can describe the current accelerating Universe in both noninteracting and
interacting scenarios, and also a transition occurs from the deceleration phase
to the accelerated phase, at the late time. Finally, we check the compatibility
of free parameters of the model with the latest observational results by using
the Pantheon supernovae data, eBOSS, 6df, BOSS DR12, CMB Planck 2015, Gamma-Ray
Burst.
