Results 11 to 20 of about 11,741 (260)
Tsallis entropy on fractal sets
Journal of Taibah University for Science, 2021 In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy.
Alireza Khalili Golmankhaneh
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Fractional q-Calculus on a time scale [PDF]
Journal of Nonlinear Mathematical Physics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atici, Ferhan M., Eloe, Paul W.
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On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory
Journal of Function Spaces, 2020 The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and ...
Li Xu +4 more
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Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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On Some New Maclaurin’s Type Inequalities for Convex Functions in q-Calculus
Fractal and Fractional, 2023 This work establishes some new inequalities to find error bounds for Maclaurin’s formulas in the framework of q-calculus. For this, we first prove an integral identity involving q-integral and q-derivative.
Thanin Sitthiwirattham +2 more
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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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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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q-CALCULUS AND THE DISCRETE INVERSE SCATTERING [PDF]
Modern Physics Letters A, 1995 The discrete inverse scattering in one dimension has been re-identified with lattice calculus. By transforming the deformation parameter, the coordinate and the partial derivatives from lattice space to q-space, the Schrödinger equation with a potential is systematically analyzed.
Karlo, T., Jacob, H., Tripathy, K. C.
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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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A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus
Journal of Mathematics, 2021 As of late quantum calculus is broadly utilized in different parts of mathematics. Uniquely, the hypothesis of univalent functions can be newly portrayed by utilizing q-calculus.
Khalid Akbar +5 more
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