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Математическая дробная модель Зимана для описания сердечных сокращений

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В статье предлагается принципиально новое обобщение ранее известной математической модели Зимана сердечных сокращений за счет электрохимического воздействия.
Исрайилжанова, Г.C., Каримов, Ш.Т., Паровик, Р.И.   +2 more
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Principles of fractional signal processing [PDF]

Publisher Copyright: © 2024 The Author(s)A general framework for fractional signal processing is described and used to derive several interesting formulations. This scheme is based on the Liouville approach that gave rise to the classic Riemann-Liouville
Ortigueira, Manuel D.
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Exponential Integrator Methods for Nonlinear Fractional Reaction-diffusion Models [PDF]

, 2017
Nonlocality and spatial heterogeneity of many practical systems have made fractional differential equations very useful tools in Science and Engineering. However, solving these type of models is computationally demanding.
Iyiola, Olaniyi Samuel
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О сходимости разностной схемы высокого порядка аппроксимации для модифицированного уравнения влагопереноса дробного порядка [PDF]

Исследована первая краевая задача для модифицированного уравнения влагопереноса с двумя операторами дробного дифференцирования Герасимова-Капуто разных порядков , . Построена разностная схема повышенного порядка точности на равномерной сетке.
Бештоков, М.Х.
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Inverse problem for determining the order of fractional derivative in mixed-type equations

In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of ...
Ashurov, R. R., Zunnunov, R. T.
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Fractional-Diffraction-Optics Cauchy Problem: Resolvent-Function Solution of the Matrix Integral Equation

The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imperfect crystals has been derived as the fractional matrix integral Fredholm--
Chukhovskii, Felix N., Mamchuev, Murat O.   +1 more
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Inverse Linear Problems for a Certain Class of Degenerate Fractional Evolution Equations

Journal of Mathematical Sciences, 2022
V. Fedorov, A. V. Nagumanova
semanticscholar   +1 more source

Overview of fractional calculus and its computer implementation in Wolfram Mathematica

In this article we would like to consider some approaches to non-integer integro-differentiations and its implementation in computer algebra system Wolfram ...
Marichev, O. I., Shishkina, E. L.
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