Generalized k-Mittag-Leffler function and its composition with pathway integral operators


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References