Eur. Phys. J. Plus (2015) 130: 102
https://doi.org/10.1140/epjp/i2015-15102-9

Regular Article

Fractional action oscillating phantom cosmology with conformal coupling

College of Mathematics and Information Science, Neijiang Normal University, 641112, Neijiang, Sichuan, China

^* e-mail: nabulsiahmadrami@yahoo.fr

Received: 20 March 2015
Revised: 23 April 2015
Accepted: 2 May 2015
Published online: 2 June 2015

Abstract

We study the late-time dynamics of a flat Friedmann-Robertson Walker universe in the context of a non-minimal fractional cosmology characterized by fractional weight in time. By considering the conformal coupling between the scalar field and gravity, a negative time-dependent quadratic potential and provided that the scale factor of the universe is related to the scalar field through a power-law ansatz, the universe is oscillating with time and the oscillating behavior of the EoS parameter can be realized around the magical value −1 by crossing the phantom divide line an infinite number of times. Some additional solutions are obtained and discussed accordingly.