Pathway fractional integral formulas involving extended Mittag-Leffler functions in the kernel

Gauhar Rahman; Kottakkaran Sooppy Nisar; Junesang Choi; Shahid Mubeen; Muhammad Arshad

doi:10.5666/KMJ.2019.59.1.125

Pathway fractional integral formulas involving extended Mittag-Leffler functions in the kernel

Gauhar Rahman
, Kottakkaran Sooppy Nisar
, Junesang Choi
, Shahid Mubeen
, Muhammad Arshad

Mathematics

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

13 Scopus citations

Abstract

Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.

Original language	English
Pages (from-to)	125-134
Number of pages	10
Journal	Kyungpook Mathematical Journal
Volume	59
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2019.59.1.125
State	Published - 1 Mar 2019

Keywords

Beta function
Extended Mittag-Leffler functions
Gamma function
Pathway integral operator

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abstract = "Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.",

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AU - Mubeen, Shahid

AU - Arshad, Muhammad

PY - 2019/3/1

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N2 - Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.

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KW - Beta function

KW - Extended Mittag-Leffler functions

KW - Gamma function

KW - Pathway integral operator

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Pathway fractional integral formulas involving extended Mittag-Leffler functions in the kernel

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Keywords

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