Extension of the fractional derivative operator of the Riemann-Liouville
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Authors
Dumitru Baleanu
- Department of Mathematics, Cankaya University, Ankara, Turkey.
- Institute of Space Sciences, Magurele-Bucharest, Romania.
Praveen Agarwal
- Department of Mathematics, Anand International College of Engineering, Jaipur-303012, Republic of India.
- Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia.
Rakesh K. Parmar
- Department of Mathematics, Govt. College of Engineering and Technology, Bikaner-334004, Rajasthan, India.
Maysaa M. Alqurashi
- Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia.
Soheil Salahshour
- Department of Computer Engineering, Mashhad Branch, IAU, Iran.
Abstract
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.
Share and Cite
ISRP Style
Dumitru Baleanu, Praveen Agarwal, Rakesh K. Parmar, Maysaa M. Alqurashi, Soheil Salahshour, Extension of the fractional derivative operator of the Riemann-Liouville, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 2914--2924
AMA Style
Baleanu Dumitru, Agarwal Praveen, Parmar Rakesh K., Alqurashi Maysaa M., Salahshour Soheil, Extension of the fractional derivative operator of the Riemann-Liouville. J. Nonlinear Sci. Appl. (2017); 10(6):2914--2924
Chicago/Turabian Style
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 Applications, 10, no. 6 (2017): 2914--2924
Keywords
- Hypergeometric function of two and three variables
- fractional derivative operator
- generating functions
- Mellin transform.
MSC
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