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

2016/01/01 by Rami Ahmad El‐Nabulsi, Rami Ahmad El-Nabulsi. · 1 citation
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.31349/revmexfis.62.3.240

crossref issued 2016/01/01 · crossref published 2016/01/01 · crossref published-online 2016/01/01 · openalex publication_date 2016/01/01 · openalex created_date 2016/08/23 · crossref created 2026/07/31 · crossref deposited 2026/07/31 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/02

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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