Non-Linear Interaction of Dark Energy Models in Fractal Cosmology

Abstract

We investigate the cosmological aspects of various dark energy models in fractal universe by assuming non-linear interaction term between the dark energy and dark matter components. We work with three well-known models named as generalized ghost dark energy, power law corrected entropy and holographic dark energy. We investigate the cosmological parameters such as (deceleration parameter q, equation of state ωΛ, squared speed of sound, Om-diagnostic) and cosmological planes (ωΛ−ω´Λ, state-finder parameter). We explore these parameters graphically for the analysis of evolution of the universe. It is observed that by using different observational schemes the equation of state parameter gives consistent ranges. We check the model’s stability using the squared sound speed. In the present scenario, the squared speed of sound is stable for these three models. We also find the consistent results of the ωΛ − ω´Λ and statefinder planes with observational schemes.