RT Journal Article
T1 Extended Riemann-Liouville type fractional derivative operator with applications
A1 Agarwal, Priyanka
A1 Nieto Roig, Juan José
A1 Luo, M.-J.
K1 Gamma function
K1 Extended beta function
K1 Riemann-Liouville fractional derivative
K1 Hypergeometric functions
K1 Fox H-function
K1 Generating functions
K1 Mellin transform
K1 Integral representations
AB The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the extension of the Riemann-Liouville fractional derivative operator. Their connections with elementary functions and Fox’s H-function are also presented
PB De Gruyter
YR 2017
FD 2017
LK http://hdl.handle.net/10347/17585
UL http://hdl.handle.net/10347/17585
LA eng
NO Agarwal, P., Nieto, J.J., Luo, M.-J. (2017). Extended Riemann-Liouville type fractional derivative operator with applications. Open Mathematics, 15(1), pp. 1667–1681. doi: https://doi.org/10.1515/math-2017-0137
NO The research of J.J. Nieto has been partially supported by the Ministerio de Economíay Competitividad of Spain under grants MTM2016–75140–P, MTM2013–43014–P, Xunta de Galicia, Grants GRC2015-004 and R2016-022, and co- nanced by the European Community fund FEDER
DS Minerva
RD 24 abr 2026