文章基本信息

标题：Fractional calculus of generalized k -Mittag-Leffler function and its applications to statistical distribution
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作者：Kottakkaran Sooppy Nisar ; Ashraf Fetoh Eata ; Mujahed Al-Dhaifallah 等
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