Pathway Fractional Integral Formulas Involving Extended Mittag-Leffler Functions in the Kernel

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 the...

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Bibliographic Details
Published inKyungpook mathematical journal Vol. 59; no. 1; pp. 125 - 134
Main Authors Rahman, Gauhar, Nisar, Kottakkaran Sooppy, Choi, Junesang, Mubeen, Shahid, Arshad, Muhammad
Format Journal Article
LanguageKorean
Published 2019
Subjects
gamma function
beta function
pathway integral operator
extended Mittag-Leffler functions
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO201913649330989
ISSN:1225-6951
0454-8124