Generalized k-Mittag-Leffler function and its composition with pathway integral operators
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Authors
K. S. Nisar
- Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser, Saudi Arabia.
S. D. Purohit
- Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, Rajasthan, India.
M. S. Abouzaid
- Department of Mathematics, Faculty of Science, Kafrelshiekh University, Egypt.
M. Al Qurashi
- Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia.
D. Baleanu
- Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
Abstract
Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this
newly defined function, we obtain certain composition formulas with pathway fractional integral operators.
We also point out some important special cases of the main results.
Share and Cite
ISRP Style
K. S. Nisar, S. D. Purohit, M. S. Abouzaid, M. Al Qurashi, D. Baleanu, Generalized k-Mittag-Leffler function and its composition with pathway integral operators, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 3519--3526
AMA Style
Nisar K. S., Purohit S. D., Abouzaid M. S., Al Qurashi M., Baleanu D., Generalized k-Mittag-Leffler function and its composition with pathway integral operators. J. Nonlinear Sci. Appl. (2016); 9(6):3519--3526
Chicago/Turabian Style
Nisar, K. S., Purohit, S. D., Abouzaid, M. S., Al Qurashi, M., Baleanu, D.. "Generalized k-Mittag-Leffler function and its composition with pathway integral operators." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 3519--3526
Keywords
- Mittag-Leffler functions
- pathway integral operator.
MSC
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