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

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.