Extended Riemann-Liouville type fractional derivative operator with applications

Extended Riemann-Liouville type fractional derivative operator with applications

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 hypergeomet...

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Bibliographic Details
Main Authors: Agarwal P., Nieto Juan J., Luo M.-J.
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Open Mathematics
Subjects:
gamma function
extended beta function
riemann-liouville fractional derivative
hypergeometric functions
fox h-function
generating functions
mellin transform
integral representations
26a33
33b15
33b20
33c05
33c20
33c65
Online Access:https://doi.org/10.1515/math-2017-0137

Internet

https://doi.org/10.1515/math-2017-0137

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