Geodesic
Generalized k-Mittag-Leffler function and its composition with pathway integral operators
Nisar, K. S.1 ; Purohit, S. D.2 ; Abouzaid, M. S.3 ; Al Qurashi, M.4 ; Baleanu, D.5
1 Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser, Saudi Arabia
2 Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, Rajasthan, India
3 Department of Mathematics, Faculty of Science, Kafrelshiekh University, Egypt
4 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
5 Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3519-3526.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.06.07
Classification : 33E12, 05C38, 26A33
Keywords: Mittag-Leffler functions, pathway integral operator.

Nisar, K. S. 1 ; Purohit, S. D. 2 ; Abouzaid, M. S. 3 ; Al Qurashi, M. 4 ; Baleanu, D. 5

1 Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser, Saudi Arabia
2 Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, Rajasthan, India
3 Department of Mathematics, Faculty of Science, Kafrelshiekh University, Egypt
4 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
5 Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania 
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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 its applications, Tome 9 (2016) no. 6, p. 3519-3526. doi : 10.22436/jnsa.009.06.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.06.07/

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