A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Junesang Choi; Praveen Agarwal

doi:10.2298/FIL1607931C

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Junesang Choi
, Praveen Agarwal

Dongguk University
International College of Engineering

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

63 Scopus citations

Abstract

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E_γ,κ[(α_j, β_j)_m; z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Original language	English
Pages (from-to)	1931-1939
Number of pages	9
Journal	Filomat
Volume	30
Issue number	7
DOIs	https://doi.org/10.2298/FIL1607931C
State	Published - 2016
Externally published	Yes

Keywords

Generalized Wright function
Generalized multiindex Mittag-Leffler functions
Pathway fractional integral operators

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10.2298/FIL1607931C

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abstract = "Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function Eγ,κ[(αj, βj)m; z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.",

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AU - Agarwal, Praveen

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AB - Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function Eγ,κ[(αj, βj)m; z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

KW - Generalized Wright function

KW - Generalized multiindex Mittag-Leffler functions

KW - Pathway fractional integral operators

UR - https://www.scopus.com/pages/publications/84982918874

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DO - 10.2298/FIL1607931C

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VL - 30

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JO - Filomat

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ER -

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Abstract

Keywords

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