  In this work, we propose a new dark energy model by applying the Barrow
entropy and the holographic principle, with a time scale as IR cut off.
Analysing the conformal time as well as universe's age as infrared cut-offs, we
explore the cosmological importance of the suggested dark energy models and
examine the universe evolution filled with the proposed DE applicants and a
pressure-less matter. We observe that the equation of state, deceleration, the
density parameters can present adequate nature, and these models may also
explain the late-time acceleration though, the proposed models are unstable
except some values of Barrow exponent $\Delta$. Furthermore, we mention the
consequences of the presence of interaction among the universe sectors.
