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Discrete and Continuous Dynamical Systems. Series A, 2021 Crisis intervention in natural disasters is significant to look at from many different slants. In the current study, we investigate the existence of solutions for \begin{document}$ q $\end{document}-integro-differential equation \begin{document}$ D_q^{\
T. Abdeljawad, M. Samei
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The Falling Body Problem in Quantum Calculus
Frontiers in Physics, 2020 The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi +3 more
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Completeness of algebraic CPS simulations [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 The algebraic lambda calculus and the linear algebraic lambda calculus are two extensions of the classical lambda calculus with linear combinations of terms.
Ali Assaf, Simon Perdrix
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On 2-variable q-Hermite polynomials
AIMS Mathematics, 2021 The quantum calculus has emerged as a connection between mathematics and physics. It has wide applications, particularly in quantum mechanics, analytic number theory, combinatorial analysis, operation theory etc.
Nusrat Raza +3 more
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Mathematics, 2023 The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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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
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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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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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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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