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Solutions of sum‐type singular fractional q integro‐differential equation with m‐point boundary value problem using quantum calculus

Mathematical methods in the applied sciences, 2020
Nowadays, many researchers have considerable attention to fractional calculus as a useful tool for modeling of different phenomena in the world. In this work, we investigate the sum‐type singular nonlinear fractional q integro‐differential equations with
A. Ahmadian   +3 more
semanticscholar   +1 more source

Differential calculus on the quantum superplane

Journal of Physics A: Mathematical and General, 1991
Quantum groups provide a concrete example of non-commutative differential geometry. A consistent differential calculus on the non-commutative space of the quantum hyperplane was formulated by Wess and Zumino (1990). In the present paper, it is extended to superspace. Several consistency checks are discussed.
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Differential operators and differential calculus in quantum groups

Izvestiya: Mathematics, 1998
The author deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). He proves density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras \(A, B\) and indicates connections with Drinfel'd's quantum double and differential geometry in quantum groups.
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Differential Calculus on Quantum Lorentz Group

Communications in Theoretical Physics, 1997
In this paper, we discuss the bicovariant differential calculus on quantum Lorentz group, and provide corresponding de Rham complex and Maurer-Cartan formulae.
Ke Wu, Shi-kun Wang
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DIFFERENTIAL CALCULUS ON INHOMOGENEOUS QUANTUM GROUPS

International Journal of Modern Physics B, 2000
We investigate the question of covariant differential calculi on the bosonisation of a coquasitriangular Hopf algebra and an associated braided Hopf algebra. As a result we present a general way of obtaining such calculi on inhomogeneous quantum groups.
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Differential calculus on quantum homogeneous spaces

Letters in Mathematical Physics, 2003
The quantum tangent space of a covariant first-order differential calculus (FODC) over a quantum homogeneous space is established, and the generators of FODC over the Podleś' quantum sphere \(C_q [\mathbb{S}_c^2]\) are determined as an application. An FODC over \({\mathcal B}\), an algebra over \(\mathbb{C}\) is a \({\mathcal B}\)-bimodule \(\Gamma ...
Stefan Kolb, István Heckenberger
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A finite difference explicit-implicit scheme for fractal heat and mass transportation of Williamson nanofluid flow in quantum calculus

Numerical Heat Transfer, Part A Applications
This study introduces a novel and versatile fractal finite difference scheme designed to address unsteady flow challenges in quantum calculus over flat and oscillatory sheets.
M. Arif, K. Abodayeh, Yasir Nawaz
semanticscholar   +1 more source

Differential calculus on quantum projective spaces [PDF]

open access: possibleCzechoslovak Journal of Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Differential Calculus on Z3-Graded Quantum Superspace ℝq(2|1)${\mathbb R}_{q}(2|1)$

, 2015
We introduce a Z3-graded quantum (2+1)-superspace and define Z3-graded Hopf algebra structure on algebra of functions on the Z3-graded quantum superspace.
S. Çelik
semanticscholar   +1 more source

Some New Applications of the Quantum Calculus for New Families of Sigmoid Activation Bi-univalent Functions Connected to Horadam Polynomials

European Journal of Pure and Applied Mathematics
The study of q-calculus is becoming increasingly prominent in the field of geometric function theory, reflecting a growing interest in its applications.
N. Mishra, Mohammad Faisal Khan, S. Lone
semanticscholar   +1 more source

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