Kaniadakis new agegraphic dark energy model with and without interaction

To inspect the nature of dark energy, we developed a new dark energy model that we thoroughly examine in this paper. The main components of our study are non-extensive new agegraphic dark energy through Kaniadakis entropy and an infrared cutoff as a conformal time. The proposed model uses the Kaniadakis parameter [Formula: see text] to quantify the deviation from the new agegraphic dark energy model. We further evaluate the evolution of a universe filled with pressure-less matter and the dark energy candidates that result, and the cosmological properties of the proposed dark energy model. Both non-interaction and interaction between the two sectors will be taken into account. Expressions are derived for both the deceleration and the equation of state parameters, as well as the differential equation for the dark energy density parameter. The model exhibits complete quintessence behavior in the non-interaction and interaction scenario. We examined the model’s stability in both scenarios through the squared sound speed. We constrain our model parameters using the recent observational data sets Pantheon+SH0ES which are having 1701 data points.