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Evaluation of Full-Mouth Non-Surgical Modalities for the Treatment of Chronic Periodontitis.
J Pharm Bioallied SciMeenawat A +5 more
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R(p; q)-calculus: differentiation and integration
R(p; q)-calculus: differentiation and integrationopenaire
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Some new results in the q -calculus
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2021In this paper, we present some results for a fractional derivative of type $q$ uniform defined by the authors in a previous work, and which are generalizations of known classical results of ordinary calculus.
Castillo Medina, Jorge A. +3 more
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Interval-valued fractional q-calculus and applications
Information Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Awais Younus +2 more
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2023
Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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On sums of squares of Fibonomial coefficients by q-calculus
Asian-European Journal of Mathematics, 2016We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kılıç and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first
Kilic, Emrah, Yalciner, Aynur
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2013
In the field of approximation theory, the applications of q-calculus are new area in last 25 years. The first q-analogue of the well-known Bernstein polynomials was introduced by Lupas in the year 1987. In 1997 Phillips considered another q-analogue of the classical Bernstein polynomials.
Ali Aral, Vijay Gupta, Ravi P. Agarwal
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In the field of approximation theory, the applications of q-calculus are new area in last 25 years. The first q-analogue of the well-known Bernstein polynomials was introduced by Lupas in the year 1987. In 1997 Phillips considered another q-analogue of the classical Bernstein polynomials.
Ali Aral, Vijay Gupta, Ravi P. Agarwal
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Natural transform of two variables in q-calculus with applications
Bollettino dell'Unione Matematica Italiana, 2023The authors introduce the double \(q\)-natural transform, a \(q\)-analogue of the double natural transform of a function \( f(x,y) \), with \( x, y \geq 0 \), defined by \[ N_2^+\{f(x,y)\} = \frac{1}{uv} \int_0^{\infty}\quad \int_0^{\infty} \mathrm{e}^{-sx/u-ty/v} f(x,y)\;\mathrm{d} x\, \mathrm{d} y.
Ganie, Javid Ahmad +2 more
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Classical inequalities for (p, q)-calculus on finite intervals
Boletín de la Sociedad Matemática Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, Pankaj, Manglik, Rohit
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Frustrated spin models an the q-calculus
Le Journal de Physique IV, 1998We present the solution of the (ganged) frustrated Spherical Model, which is obtained by using q-polynomials. This is a first step towards the solution of the physically relevant frustrated XY model, a deterministic model which may behave as a spin glass.
A. Cappelli, F. Colomo
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