Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
复制标题
扩展Mittag-Leffler函数的分数阶微积分及其在统计分布中的应用
DOI：
10.3390/math7030248
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发表时间：
2019
期刊：
影响因子：
2.4
通讯作者：
K. Nisar
中科院分区：
文献类型：
--
作者：
S. Araci;G. Rahman;A. Ghaffar;Azeema;K. Nisar
介绍和研究了几种分数阶微积分算子。在这个序列中，我们建立了Marichev-Saigo-Maeda(MSM)分数阶微积分算子和推广的Mittag-Leffler函数(EMLF)的Caputo型MSM分数阶微积分算子。我们还研究了与EMLF相关的统计分布。最后，我们给出了一些主要结果的特例。
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag-Leffler function (EMLF). We also investigate the statistical distribution associated with the EMLF. Finally, we derive some of the particular cases of the main results.