Results 71 to 80 of about 223 (102)

On the Numerical Solution of the Basic Equation of Wave Mechanics with the Gerasimov – Caputo Fractional Derivative

Yugra State University Bulletin
Subject of research: initial-boundary value problem for the fundamental equation of fractional wave mechanics with fractional Gerasimov – Kaputo time derivative and the influence of the numerical solution parameters on the accuracy and stability of quantum system modeling.
Georgy A. Neverov, Natalia D. Ivanova
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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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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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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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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 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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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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Nonlocal Solvability of Quasilinear Degenerate Equations with Gerasimov–Caputo Derivatives

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, V. E., Zakharova, T. A.
openaire   +2 more sources