Testing Fractional Action Cosmology

TL;DR

This paper tests a specific Fractional Action Cosmology model that explains accelerated expansion periods, using theoretical analysis and observational data to constrain model parameters and compare predictions with observations.

Contribution

It provides a combined theoretical and observational assessment of a fractional cosmological model with a kinematic induction term, including parameter restrictions and cosmography analysis.

Findings

Model can describe two accelerated expansion periods.

Constraints on fractional index and model parameters from observational data.

Good agreement between theoretical predictions and observations.

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.