Dynamical vacuum energy and phantom divide-line cross in scalar cosmology

El-Nabulsi, Ahmad Rami

doi:10.1007/s12648-012-0200-5

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Cited by 9 publications

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“…The subscript zero indicates its value at the present time. Besides its local and current values, a time-dependent Hubble parameter was proposed in literature through different cosmological scenarios [4][5][6][7][8][9][10][11][12] in order to explain the accelerated expansion of the universe and the phantom divide-line cross next to the large number of different cosmological scenarios discussed in literature (see [13] for a good review). However there don't exist any standard cosmological law for H (t) and this theoretical issue is phenomenological and is followed by a number of conjectures.…”

Section: Introductionmentioning

confidence: 99%

A Cosmology Governed by a Fractional Differential Equation and the Generalized Kilbas-Saigo-Mittag-Leffler Function

El-Nabulsi

2015

Int J Theor Phys

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In this paper we discussed the FRW cosmology characterized by a scale factor obeying different independent types of fractional differential equations with solutions givens in terms of Mittag-Leffler and generalized Kilbas-Saigo-Mittag-Leffler functions. Both types of fractional operators: the Riemann-Liouville fractional integral and the Caputo fractional derivative were considered independently. Some new cosmological features were observed and discussed accordingly.

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