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

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Abstract

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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Acknowledgments

I would like to thank the anonymous referees for their helpful comments and important suggestions.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan, 641112, China

    Rami Ahmad El-Nabulsi

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  1. Rami Ahmad El-Nabulsi
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Correspondence to Rami Ahmad El-Nabulsi.

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El-Nabulsi, R.A. A Cosmology Governed by a Fractional Differential Equation and the Generalized Kilbas-Saigo-Mittag-Leffler Function. Int J Theor Phys 55, 625–635 (2016). https://doi.org/10.1007/s10773-015-2700-5

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