Testing Fractional Action Cosmology

Abstract

The present work deals with a combined test of the so-called Fractional Action Cosmology (FAC) on the example of a specific model obtained by the author earlier. In this model, the effective cosmological term is proportional to the Hubble parameter squared through the so-called kinematic induction. The reason of studying this cosmological model could be explained by its ability to describe two periods of accelerated expansion, that is in agreement with the recent observations and the cosmological inflation paradigm. First of all, we put our model through the theoretical tests that gives a general conception of the influence of the model parameters on its behavior. Then, we obtain some restrictions on the principal parameters of the model, including the fractional index, by means of the observational data. Finally, the cosmography parameters and the observational data compared to the theoretical predictions are presented both analytically and graphically.

9 pages, 7 figures; minor typos corrected

References in corpus (16)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Two new diagnostics of dark energy
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Search for TeV Gamma-ray Emission from GRB 100621A, an extremely bright GRB in X-rays, with H.E.S.S
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• The Hubble series: Convergence properties and redshift variables
• Complete Cosmic History with a dynamical Lambda(H) term
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Fractional Einstein-Hilbert Action Cosmology
• Cosmic age, Statefinder and $Om$ diagnostics in the decaying vacuum cosmology
• Knot Universes in Bianchi Type I Cosmology

Cited by in corpus (15)

• Cosmology under the fractional calculus approach
• Conformable Fractional Polytropic Gas Spheres
• Revisiting Fractional Cosmology
• Fractional-order derivatives in cosmological models of accelerated expansion
• Exact solutions and cosmological constraints in fractional cosmology
• Estimated Age of the Universe in Fractional Cosmology
• Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
• Emergence of fractal cosmic space from fractional quantum gravity
• Conformable Fractional Isothermal Gas Spheres
• Conformal and Non-Minimal Couplings in Fractional Cosmology
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Fractional Bosonic Strings
• On observational signatures of multi-fractional theory
• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action
• Cosmology of fractional gravity