Results 31 to 40 of about 54,241 (298)
Quantum Affine Transformation Group and Covariant Differential Calculus [PDF]
Progress of Theoretical Physics, 1994 LaTeX 22 pages OS-GE-34-94 RCNP ...
Aizawa, N., Sato, H. -T.
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Differential calculus on quantum spheres [PDF]
Letters in Mathematical Physics, 1989 Three-dimensional differential calculus on quantum spheres S infμc sup2 ,μ∈]−1, 1[∖{0}, c∈[0, ∞], is introduced and investigated. Spectra of generalized Laplacians are found. These operators are expressed by generalized directional derivatives.
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The homotopy analysis method for q-difference equations
Ain Shams Engineering Journal, 2018 The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
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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
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A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS [PDF]
International Journal of Modern Physics A, 1994 In this paper, using, the Weyl-Wigner-Moyal formalism for quantum mechanics, we develop a quantum-deformed exterior calculus on the phase space of an arbitrary Hamiltonian system. Introducing additional bosonic and fermionic coordinates, we construct a supermanifold which is closely related to the tangent and cotangent bundle over phase space.
GOZZI, ENNIO, REUTER M.
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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
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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
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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
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Applications of (h,q)-Time Scale Calculus to the Solution of Partial Differential Equations
Computer Sciences & Mathematics Forum, 2023 In this article, we developed the idea of q-time scale calculus in quantum geometry. It includes the q-time scale integral operators and ∆q-differentials. It analyzes the fundamental principles which follow the calculus of q-time scales compared with the
Hussain Ali +2 more
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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
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