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

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Abstract

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.

Description

Kumar, Dr. Dinesh/0000-0001-5415-1777

Keywords

Fractional Q-Integral, Q-Derivative Operators, Basic Analogue To The Aleph-Function, Basic Analogue To The I-Function, Q-Leibniz Rule, QA299.6-433, Fractional <i>q</i>-integral, <i>q</i>-derivative operators, Fractional <i>q</i>-integral; <i>q</i>-derivative operators; basic analogue to the Aleph-function; basic analogue to the <i>I</i>-function; <i>q</i>-Leibniz rule, <i>q</i>-Leibniz rule, QA1-939, Thermodynamics, basic analogue to the Aleph-function, basic analogue to the <i>I</i>-function, QC310.15-319, Mathematics, Analysis

Fields of Science

01 natural sciences, 0104 chemical sciences, 0101 mathematics

Citation

Kumar, Dinesh;...et.al. (2022). "On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables", Fractal and Fractional, Vol.6, No.2.

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6

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2

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71

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