New Tsallis holographic dark energy with future event horizon as IR-cutoff in non-flat Universe

In this work, new Tsallis holographic dark energy (NTHDE) with future event horizon as IR-cutoff is constructed in a non-flat Friedmann-Lemaitre-Robertson-Walker Universe. 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 " and "c ". We specifically derive the differential equations for the dark-energy density parameter (DP) and hence the equation of state parameter (EoS) by taking into account closed and open spatial geometry. In both a closed and an open universe, the equation of state parameter exhibits pure quintessence behavior for c > 1, quintom behavior for c < 1, and lambda CDM model recovery for c = 1. We can see the phase changes from deceleration to acceleration at z & AP; 0.6 by tracking the evolution of the deceleration parameter. As inferred from the evolution of the Hubble parameter, NTHDE in a non-flat universe precisely matches Hubble data. Stability of our model by analyzing the squared speed of sound is investigated as well.