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

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

Abstract In this paper, we introduce the ( k , s ) $(k, s)$ -fractional integral and differential operators involving k-Mittag-Leffler function E k , ρ , β δ ( z ) $E_{k,\rho,\beta}^{\delta}(z)$ as its kernel. Also, we establish various properties of these operators. Further, we consider a number of...

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Bibliographic Details
Main Authors: KS Nisar, G Rahman, D Baleanu, S Mubeen, M Arshad
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Advances in Difference Equations
Subjects:
fractional integral
k-fractional integral operator
( k , s ) $(k,s)$ -fractional integral
( k , s ) $(k,s)$ -fractional differential
k-Mittag-Leffler function
Online Access:http://link.springer.com/article/10.1186/s13662-017-1176-4

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http://link.springer.com/article/10.1186/s13662-017-1176-4

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