Reconstructions of F(𝒫) gravity from barrow holographic dark energy, barrow agegraphic dark energy and new barrow agegraphic dark energy

This paper presents the reconstructed [Formula: see text] cubic gravity from Barrow Holographic Dark Energy (BHDE), Barrow Agegraphic Dark Energy (BADE) and New Barrow Agegraphic Dark Energy (NBADE). By considering the scale factor of the universe as [Formula: see text] and the deformation quantity of the quantum gravity by [Formula: see text], we have reconstructed the [Formula: see text] cubic gravity and then we have analyzed the reconstructed models through cosmic parameters, namely, by deceleration and state parameters taking different values of deformation quantity [Formula: see text]. Also, we have focused on the dark energy perturbation stability through the sound-squared speed parameter. Again, we have projected the evolution of the universe in the plane of [Formula: see text]-[Formula: see text].