Certain <i>q</i>-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function

Certain <i>q</i>-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function

Using Mellin-Barnes contour integrals, we aim at suggesting a <i>q</i>-analogue (<i>q</i>-extension) of the several variable Aleph-function. Then we present Riemann Liouville fractional <i>q</i>-integral and <i>q</i>-differential formulae for the <i...

Full description

Bibliographic Details
Main Authors: Dinesh Kumar, Frédéric Ayant, Norbert Südland, Junesang Choi
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Axioms
Subjects:
Mellin-Barnes contour integrals
fractional calculus
fractional <i>q</i>-calculus
<i>q</i>-several variable Aleph-function
<i>q</i>-several variable <i>I</i>-function
<i>q</i>-Leibniz rule
Online Access:https://www.mdpi.com/2075-1680/12/1/51

Similar Items

Similar Items