On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables

In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We discussed a related application and the q-extension of the corresponding Leibniz rule. Finally, we presented two corollaries concerning the basic a...

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Veröffentlicht in:	Fractal and fractional 2022-02, Vol.6 (2), p.71
Hauptverfasser:	Kumar, Dinesh, Baleanu, Dumitru, Ayant, Frédéric, Südland, Norbert
Format:	Artikel
Sprache:	eng
Schlagworte:	basic analogue to the Aleph-function basic analogue to the I-function Calculus Fractional q-integral Mathematical analysis q-derivative operators q-Leibniz rule
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Beschreibung
Zusammenfassung:	In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We discussed a related application and the q-extension of the corresponding Leibniz rule. Finally, we presented two corollaries concerning the basic analogue to the I-function of two variables and the basic analogue to the Aleph-function of one variable.
ISSN:	2504-3110 2504-3110
DOI:	10.3390/fractalfract6020071