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

Serkan Araci; Gauhar Rahman; Abdul Ghaffar; Azeema; Kottakkaran Sooppy Nisar

doi:10.3390/math7030248

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

Serkan Araci
, Gauhar Rahman
, Abdul Ghaffar
, Azeema
, Kottakkaran Sooppy Nisar

Mathematics

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

24 Scopus citations

Abstract

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.

Original language	English
Article number	248
Journal	Mathematics
Volume	7
Issue number	3
DOIs	https://doi.org/10.3390/math7030248
State	Published - 1 Mar 2019

Keywords

Extended Mittag-Leffler function
Extended Wright-type hypergeometric functions
Statistical distribution
Wright-type hypergeometric functions

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10.3390/math7030248

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title = "Fractional calculus of extended Mittag-Leffler function and its applications to statistical distribution",

abstract = "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.",

keywords = "Extended Mittag-Leffler function, Extended Wright-type hypergeometric functions, Statistical distribution, Wright-type hypergeometric functions",

author = "Serkan Araci and Gauhar Rahman and Abdul Ghaffar and Azeema and Nisar, \{Kottakkaran Sooppy\}",

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AU - Araci, Serkan

AU - Rahman, Gauhar

AU - Ghaffar, Abdul

AU - Azeema,

AU - Nisar, Kottakkaran Sooppy

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

AB - 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.

KW - Extended Mittag-Leffler function

KW - Extended Wright-type hypergeometric functions

KW - Statistical distribution

KW - Wright-type hypergeometric functions

UR - https://www.scopus.com/pages/publications/85062941320

U2 - 10.3390/math7030248

DO - 10.3390/math7030248

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VL - 7

JO - Mathematics

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M1 - 248

ER -

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

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Keywords

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