In the present work, we have considered a modified gravity model dubbed as ‘logarithmicf (T) gravity’ as reported by Bamba et al. (J. Cosmol. Astropart. Phys 1101: 21, 2011) and investigated the behavior of RICCI DARK ENERGY interacting with pressureless DARK Matter. We have chosen the interaction term in the form Q=3 Hdrm and investigated the behavior of the Hubble parameter H as a function of the redshift z. For this reconstructed H, we have investigated the behavior of the fractional density contribution due to the RICCI DARK ENERGY and torsion. Subsequently, we investigated the equation of state parameter w RDE which is found to have a phantom-like behavior for all choices of c 2 in the RICCI DARK ENERGY density.

In this work, we discussed the ‘modified holographic RICCI DARK ENERGY’ cosmological model based on El-Nabulsi fractional action cosmology. corresponding related cosmological parameters have been reconstructed. It has been observed that the equation of state parameter behaves like quintessence. Finally, through a test by the squared speed of sound, the proposed reconstruction model is found to be classically unstable.

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Purpose of this paper is to study generalized quantum chromodynamics ghost DARK ENERGY (GDE) in the frame work of Horava–Lifshitz cosmology. Considering interacting and non-interacting scenario of GDE with DARK matter in a spatially non-flat universe, we investigate the cosmological implications of this model in detail. We obtain equation of state parameter, deceleration parameter and the evolution of DARK ENERGY density to explain the expansion of the universe. Also, we show that the results we calculate have a good compatibility with previous work and restore it in limiting case. Further, we investigate validity of generalized second law of thermodynamics in this scenario. Finally, we find out a cosmological application of our work by evaluating a relation for the equation of state of DARK ENERGY for law redshifts.