Certain q-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 q-analogue (q-extension) of the several variable Aleph-function. Then we present Riemann Liouville fractional q-integral and q-differential formulae for the q-extended several variable Aleph-function. Using the q-analogue of the Leibniz r...

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Bibliographic Details

Published in:	Axioms Vol. 12; no. 1; p. 51
Main Authors:	Kumar, Dinesh, Ayant, Frédéric, Südland, Norbert, Choi, Junesang
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.01.2023
Subjects:	Calculus Fractional calculus fractional q-calculus Identities Infinite series Integrals Mellin-Barnes contour integrals q-Leibniz rule q-several variable Aleph-function q-several variable I-function Quantum mechanics
ISSN:	2075-1680, 2075-1680
Online Access:	Get full text
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