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

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• 作者：Rami Ahmad El-Nabulsi
• 关键词：FRW cosmology ; Dark energy ; Fractional differential equation ; Mittag ; Leffler function ; Generalized Kilbas ; Saigo ; Mittag ; Leffler function
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：55
• 期：2
• 页码：625-635
• 全文大小：475 KB
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• 作者单位：Rami Ahmad El-Nabulsi (1)
  
  1. College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan, 641112, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

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.