Generalized Extended Riemann-Liouville type fractional derivative operator
Classical Analysis and ODEs
2019-12-10 v1
Abstract
In this paper, we aim to present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [4]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these generalizations. Further, an extension of the Riemann-Liouville fractional derivative operator is established.
Keywords
Cite
@article{arxiv.1912.03464,
title = {Generalized Extended Riemann-Liouville type fractional derivative operator},
author = {Abbas Hafida and Azzouz Abdelhalim and Zahaf Mohammed Brahim and Belmekki Mohamed},
journal= {arXiv preprint arXiv:1912.03464},
year = {2019}
}