ScholarLens Back to search
2016•FilomatOpen access

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

Junesang Choi, Praveen Agarwal

Open full text 51 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?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Open-access reader

About this research paper

What this paper is about

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?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Why it matters

OpenAlex reports 51 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

Key concepts: Mathematics, Mittag-Leffler function, Fractional calculus, Operator (biology), Type (biology), Function (biology), Pure mathematics, Calculus (dental)

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
A note on fractional integral operator associated with multiindex Mittag-Leffler functions — Research Paper | ScholarLens