  New Tsallis holographic dark energy with apparent horizon as IR-cutoff
studied by considering non-flat Friedmann-Lemaitre-Robertson-Walker metric. The
accelerating expansion phase of the Universe is described by using deceleration
parameter, equation of state parameter and density parameter by using different
values of NTHDE parameter "$\delta$". The NTHDE Universe's transition from a
decelerated to an accelerated expanding phase is described by the smooth graph
of deceleration parameter. Depending on distinct values of Tsallis parameter
"$\delta$", we have explored the quintessence behavior of the equation of state
parameter. We used Hubble data sets obtained using Cosmic Chronometric methods
and distance modulus measurement of Type Ia Supernova to fit the NTHDE
parameters. Stability of our model by analyzing the squared speed of sound
investigated as well.
