A new Riemann–Liouville type fractional derivative operator and its application in generating functions

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

Abstract Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and Lauricella hypergeometric function of...

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Bibliographic Details
Main Authors: M. Shadab, M. Faisal Khan, J. Luis Lopez-Bonilla
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Advances in Difference Equations
Subjects:
Riemann–Liouville fractional derivative operator
Extended beta function
Extended Appell functions
Extended Lauricella function
Mellin Transform
Generating function
Online Access:http://link.springer.com/article/10.1186/s13662-018-1616-9

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http://link.springer.com/article/10.1186/s13662-018-1616-9

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