The (k, s) -fractional calculus of k-Mittag-Leffler function

Ks Nisar; G. Rahman; D. Baleanu; S. Mubeen; M. Arshad

doi:10.1186/s13662-017-1176-4

The (k, s) -fractional calculus of k-Mittag-Leffler function

Ks Nisar
, G. Rahman
, D. Baleanu
, S. Mubeen
, M. Arshad

Mathematics

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

25 Scopus citations

Abstract

In this paper, we introduce the (k, s) -fractional integral and differential operators involving k-Mittag-Leffler function Ek,ρ,βδ(z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.

Original language	English
Article number	118
Journal	Advances in Difference Equations
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13662-017-1176-4
State	Published - 1 Dec 2017

Keywords

(k, s) -fractional differential
(k, s) -fractional integral
fractional integral
k-fractional integral operator
k-Mittag-Leffler function

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10.1186/s13662-017-1176-4

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AU - Mubeen, S.

AU - Arshad, M.

PY - 2017/12/1

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KW - (k, s) -fractional differential

KW - (k, s) -fractional integral

KW - fractional integral

KW - k-fractional integral operator

KW - k-Mittag-Leffler function

UR - https://www.scopus.com/pages/publications/85018484221

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DO - 10.1186/s13662-017-1176-4

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JF - Advances in Difference Equations

IS - 1

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ER -

The (k, s) -fractional calculus of k-Mittag-Leffler function

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Keywords

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