Results 51 to 60 of about 96,588 (331)
Solution to Laplace’s Equation Using Quantum Calculus
International Journal of Engineering Technology and Management Sciences, 2023 The quantum calculus emerged as a new type of unconventional calculus relevant to both mathematics and physics. The study of quantum calculus or q-calculus has three hundred years of history of development since the era of Euler and Bernoulli, and was ...
Pintu Bhattacharya, Ravi Ranjan
semanticscholar +1 more source
AIMS Mathematics, 2023 In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory.
Alina Alb Lupaş +2 more
doaj +1 more source
Taylor collocation method for approximate solutions of q-difference equations [PDF]
Mathematics and Computational Sciences, 2022 This manuscript suggests an efficient scheme to find an approach for a class of differential equations arsing in the quantum calculus. The present scheme considers the solution in the form of a truncated Taylor series near zero with unknown coefficients.
H Deilami Azodi
doaj +1 more source
Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation
Fractal and Fractional, 2023 The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination.
Alina Alb Lupaş, Adriana Cătaş
doaj +1 more source
Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus [PDF]
Open Mathematics, 2021 Abstract In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣
Ali, Muhammad Aamir +3 more
openaire +3 more sources
Advances in Differential Equations, 2020 In this study, we discuss the existence of positive solutions for the system of m-singular sum fractional q-differential equations Dqαixi+gi(t,x1,…,xm,Dqγ1x1,…,Dqγmxm)+hi(t,x1,…,xm,Dqγ1x1,…,Dqγmxm)=0\documentclass[12pt]{minimal} \usepackage{amsmath ...
M. Samei
semanticscholar +1 more source
Bicovariant differential calculus on the quantum superspace ℝq(1|2) [PDF]
, 2015 Super-Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace.
S. Çelik
semanticscholar +1 more source
Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions
Symmetry, 2022 In the past few years, many scholars gave much attention to the use of q-calculus in geometric functions theory, and they defined new subclasses of analytic and harmonic functions.
Mohammad Faisal Khan +4 more
semanticscholar +1 more source
Almost commutative algebra and differential calculus on the quantum hyperplane [PDF]
Journal of Mathematical Physics, 1994 A notion of almost commutative algebra is given that makes it possible to extend differential geometric ideas associated with commutative algebras in a simple manner to certain classes of noncommutative algebras. As an example differential calculus on the N-dimensional quantum hyperplane is discussed.
Bongaarts, P.J.M., Pijls, H.G.J.
openaire +5 more sources
A Compact Numerical Scheme for the Heat Transfer of Mixed Convection Flow in Quantum Calculus
Applied Sciences, 2022 This contribution aims to propose a compact numerical scheme to solve partial differential equations (PDEs) with q-spatial derivative terms. The numerical scheme is based on the q-Taylor series approach, and an operator is proposed, which is useful to ...
Yasir Nawaz, M. Arif, K. Abodayeh
semanticscholar +1 more source