On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function

D Kumar, F Ayant, KS Nisar, DL Suthar - Proceedings of the National …, 2023 - Springer
In the present article, we proposed the fractional-order Kober and generalized Weyl q-
integrals involving a basic (or q-) analogue of multivariable Aleph-function. Similar …

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

D Kumar, F Ayant, N Südland, J Choi - Axioms, 2023 - mdpi.com
Using Mellin-Barnes contour integrals, we aim at suggesting aq-analogue (q-extension) of
the several variable Aleph-function. Then we present Riemann Liouville fractional q-integral …

Certain expansion formulae of incomplete H-functions associated with Leibniz rule

S Meena, S Bhatter, K Jangid, SD Purohit - 2022 - belgelik.isikun.edu.tr
In this article, we have derived some expansion formulae of the incomplete H-functions by
the use of the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion …

[PDF][PDF] A transformation involving basic multivariable I-function of Prathima

N Sahni, D Kumar, FY Ayant… - J. Ramanujan Soc. Math …, 2021 - researchgate.net
In this document an expansion formula for q-analogue of multivariable I-function have been
given by the applications of the q-Leibniz law for the q-derivatives of multiplication of two …

Certain new formulas for bibasic Humbert hypergeometric functions and

A Shehata - arXiv preprint arXiv:2207.01689, 2022 - arxiv.org
The main aim of the present work is to give some interesting the $ q $-analogues of various
$ q $-recurrence relations, $ q $-recursion formulas, $ q $-partial derivative relations, $ q …

Fractional derivatives and expansion formulae of incomplete and -functions

N Jangid, S Joshi, SD Prohit, D Suthar - Advances in the Theory of …, 2021 - dergipark.org.tr
In this paper, we investigate the fractional derivatives and expansion formulae of incomplete
H and H-functions for one variable. Further, we also obtain results for repeated fractional …

On Bibasic Humbert hypergeometric function

A Aledamat, A Shehata - arXiv preprint arXiv:2202.12697, 2022 - arxiv.org
The main aim of this work is to derive the $ q $-recurrence relations, $ q $-partial derivative
relations and summation formula of bibasic Humbert hypergeometric function $\Phi_1 $ on …

On transformation involving basic analogue to the Aleph-function of two variables

D Kumar, D Baleanu, F Ayant, N Südland - Fractal and Fractional, 2022 - mdpi.com
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 …

On some properties of the bibasic Humbert hypergeometric functions Ξ1 and Ξ2

Q Cai, GS Khammash, SI Moustafa… - Applied Mathematics-A …, 2023 - Springer
The main object of this paper is to deduce the bibasic Humbert functions Ξ1 and Ξ2 Some
interesting results and elementary summations technique that was successfully employed, q …

ON FRACTIONAL q-DERIVATIVE INTEGRAL FORMULAE OF PRASAD'S I-FUNCTION I.

L RATHOUR, VN MISHRA, N SAHNI… - Electronic Journal …, 2023 - search.ebscohost.com
In the present research work, we have derived two theorems which involves integral
operators of Erdelyi-Kober type and a q-analogue of modified multivariable I-function. The …