Geodesic
Extension of the fractional derivative operator of the Riemann-Liouville
Baleanu, Dumitru1 ; Agarwal, Praveen2 ; Parmar, Rakesh K.3 ; Alqurashi, Maysaa M.4 ; Salahshour, Soheil5
1 Department of Mathematics, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
2 Department of Mathematics, Anand International College of Engineering, Jaipur-303012, Republic of India;Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
3 Department of Mathematics, Govt. College of Engineering and Technology, Bikaner-334004, Rajasthan, India
4 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
5 Department of Computer Engineering, Mashhad Branch, IAU, Iran
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2914-2924.

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

By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions.
DOI : 10.22436/jnsa.010.06.06
Classification : 33C05, 33C15
Keywords: Hypergeometric function of two and three variables, fractional derivative operator, generating functions, Mellin transform.

Baleanu, Dumitru 1 ; Agarwal, Praveen 2 ; Parmar, Rakesh K. 3 ; Alqurashi, Maysaa M. 4 ; Salahshour, Soheil 5

1 Department of Mathematics, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
2 Department of Mathematics, Anand International College of Engineering, Jaipur-303012, Republic of India;Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
3 Department of Mathematics, Govt. College of Engineering and Technology, Bikaner-334004, Rajasthan, India
4 Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
5 Department of Computer Engineering, Mashhad Branch, IAU, Iran 
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Baleanu, Dumitru; Agarwal, Praveen; Parmar, Rakesh K.; Alqurashi, Maysaa M.; Salahshour, Soheil. Extension of the fractional derivative operator of the Riemann-Liouville. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 6, p. 2914-2924. doi : 10.22436/jnsa.010.06.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.06.06/

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