On the stability of the dark energy based on generalized uncertainty principle

The new agegraphic Dark Energy (NADE) model (based on generalized uncertainty principle) interacting with Dark Matter (DM) is considered in this study via power-law form of the scale factor $a(t)$. The equation of state (EoS) parameter ${\omega }_G$ is observed to have a phantom-like behaviour. The stability of this model is investigated through the squared speed of sound $v_s^2$: it is found that $v_s^2$ always stays at negative level, which indicates instability of the considered model.