Eur. Phys. J. Plus (2016) 131: 256
https://doi.org/10.1140/epjp/i2016-16256-6

Regular Article

Testing fractional action cosmology

Department of Theoretical Physics, Ulyanovsk State University, L. Tolstoy Str., 432000, Ulyanovsk, Russia

^* e-mail: vkshch@yahoo.com

Received: 29 January 2016
Accepted: 4 July 2016
Published online: 5 August 2016

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, which 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.