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

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Physics Ornstein–Uhlenbeck process Cosmology Scalar (mathematics) Scale factor (cosmology) Hubble's law Differential equation Mathematical physics Statistical physics Metric expansion of space Astrophysics Mathematics Dark energy Stochastic process Quantum mechanics Statistics Geometry

Rami Ahmad El‐Nabulsi ·

YOU? · · 2016 · Open Access · · OA: W2505867200

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