EL-NABULSI, Rami Ahmad. Implications of the Ornstein-Uhlenbeck-like fractional differential equation in cosmology. Rev. mex. fis. []. 2016, 62, 3, pp.240-250. ISSN 0035-001X.

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.

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

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