Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution

Kottakkaran Sooppy Nisar; Ashraf Fetoh Eata; Mujahed Al-Dhaifallah; Junesang Choi

doi:10.1186/s13662-016-1029-6

Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution

Kottakkaran Sooppy Nisar, Ashraf Fetoh Eata, Mujahed Al-Dhaifallah, Junesang Choi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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.

Original language	English
Article number	304
Journal	Advances in Difference Equations
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13662-016-1029-6
State	Published - 1 Dec 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).

Keywords

gamma function
generalized k-Mittag-Leffler functions
statistical distribution

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/s13662-016-1029-6

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AU - Al-Dhaifallah, Mujahed

AU - Choi, Junesang

PY - 2016/12/1

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KW - gamma function

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Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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