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  • 标题:Fractional calculus of generalized k -Mittag-Leffler function and its applications to statistical distribution
  • 本地全文:下载
  • 作者:Kottakkaran Sooppy Nisar ; Ashraf Fetoh Eata ; Mujahed Al-Dhaifallah
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:304
  • DOI:10.1186/s13662-016-1029-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We aim to investigate the MSM-fractional calculus operators, Caputo-type MSM-fractional differential operator, and pathway fractional integral operator of the generalized k-Mittag-Leffler function. We also investigate certain statistical distribution associated with the generalized k-Mittag-Leffler function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.
  • 关键词:gamma function ; generalized k -Mittag-Leffler functions ; statistical distribution
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