TY - JOUR
T1 - Fractional calculus of generalized k-Mittag-Leffler function and its applications to statistical distribution
AU - Nisar, Kottakkaran Sooppy
AU - Eata, Ashraf Fetoh
AU - Al-Dhaifallah, Mujahed
AU - Choi, Junesang
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/12/1
Y1 - 2016/12/1
N2 - We aim to investigate the MSM-fractional calculus operators, Caputo-type MSM-fractional differential operator, and pathway fractional integral operator of the generalized k-Mittag-Leffler function. We also investigate certain statistical distribution associated with the generalized k-Mittag-Leffler function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.
AB - We aim to investigate the MSM-fractional calculus operators, Caputo-type MSM-fractional differential operator, and pathway fractional integral operator of the generalized k-Mittag-Leffler function. We also investigate certain statistical distribution associated with the generalized k-Mittag-Leffler function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.
KW - gamma function
KW - generalized k-Mittag-Leffler functions
KW - statistical distribution
UR - https://www.scopus.com/pages/publications/85000774393
U2 - 10.1186/s13662-016-1029-6
DO - 10.1186/s13662-016-1029-6
M3 - Article
AN - SCOPUS:85000774393
SN - 1687-1839
VL - 2016
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 304
ER -