Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 55, Issue 2, Pages 625-635Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-015-2700-5
Keywords
FRW cosmology; Dark energy; Fractional differential equation; Mittag-Leffler function; Generalized Kilbas-Saigo-Mittag-Leffler function
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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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