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

被引:0
作者
Rami Ahmad El-Nabulsi
机构
[1] Neijiang Normal University,College of Mathematics and Information Science
来源
International Journal of Theoretical Physics | 2016年 / 55卷
关键词
FRW cosmology; Dark energy; Fractional differential equation; Mittag-Leffler function; Generalized Kilbas-Saigo-Mittag-Leffler function;
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学科分类号
摘要
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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页码:625 / 635
页数:10
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