TY - JOUR
T1 - The (k, s) -fractional calculus of k-Mittag-Leffler function
AU - Nisar, Ks
AU - Rahman, G.
AU - Baleanu, D.
AU - Mubeen, S.
AU - Arshad, M.
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/12/1
Y1 - 2017/12/1
N2 - 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.
AB - 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.
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
U2 - 10.1186/s13662-017-1176-4
DO - 10.1186/s13662-017-1176-4
M3 - Article
AN - SCOPUS:85018484221
SN - 1687-1839
VL - 2017
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 118
ER -