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Some Results on the q-Calculus and Fractional q-Differential Equations
Mathematics, 2021 In this paper, we first discuss some important properties of fractional q-calculus. Then, based on these properties and the q-Laplace transform, we translate a class of fractional q-differential equations into the equivalent q-differential equations with
Y. Sheng, Tie Zhang
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Fractional (p, q)-Calculus on Finite Intervals and Some Integral Inequalities
Symmetry, 2021 Fractional q-calculus has been investigated and applied in a variety of fields in mathematical areas including fractional q-integral inequalities. In this paper, we study fractional (p,q)-calculus on finite intervals and give some basic properties.
Pheak Neang +3 more
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EXPTIME tableaux for the coalgebraic mu-calculus [PDF]
, 2011 The coalgebraic approach to modal logic provides a uniform framework that captures the semantics of a large class of structurally different modal logics, including e.g. graded and probabilistic modal logics and coalition logic.
Pattinson, Dirk +2 more
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, 2002 In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. q-Calculus has wide-ranging applications in analytic number theory and theoretical physics.
Ernst, Thomas,, Srivastava, Hari M.,
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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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Application of q-Calculus to the Solution of Partial q-Differential Equations
Applied Mathematics, 2021 We introduce the concept of q-calculus in quantum geometry. This involves the q-differential and q-integral operators. With these, we study the basic rules governing q-calculus as compared with the classical Newton-Leibnitz calculus, and obtain some ...
Maliki Olaniyi Sadik, Bassey Okpo Orie
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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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Thermofractals, Non-Additive Entropy, and q-Calculus
Physics, 2021 Non-additive entropy is obtained through the thermodynamic description of a system with a fractal structure in its energy-momentum space, called a thermofractal. The entropic parameter, q, is determined in terms of the fractal structure parameters.
A. Deppman
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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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