Implications of the Ornstein-Uhlenbeck-like fractional differential equation in cosmology

Authors

  • Rami Ahmad El-Nabulsi.

Keywords:

FRW flat cosmology, generalized fractional scale factor, Ornstein-Uhlenbeck-like fractional differential equation, Mittag-Leffler function, Gauss-Bonnet invariant

Abstract

In this paper we introduce a generalized fractional scale factor and a time-dependent Hubble parameter obeying an ``Ornstein-Uhlenbeck-like fractional differential equation'' which serves to describe the accelerated expansion of a non-singular universe with and without the presence of scalar fields. Some hidden cosmological features were captured and discussed consequently.

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Published

2016-01-01

How to Cite

[1]
Rami Ahmad El-Nabulsi., “Implications of the Ornstein-Uhlenbeck-like fractional differential equation in cosmology”, Rev. Mex. Fís., vol. 62, no. 3 May-Jun, pp. 240–0, Jan. 2016.

Issue

Vol. 62 No. 3 May-Jun (2016): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.