Results 41 to 50 of about 194 (101)
Application of Fractional Calculus to Oil Industry [PDF]
, 2017 In this chapter, we present a discussion about the practical application of the fractal properties of the medium in the mathematical model through the use of fractional partial derivatives.
Fuentes, Carlos +3 more
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Explicit Solutions to Fractional Stefan-like problems for Caputo and Riemann-Liouville Derivatives [PDF]
, 2020 Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order $\alpha \in (0, 1)$ verifying that they coincide with the same classical Stefan problem at the limit case when $\alpha=1$.
Caruso, Nahuel +2 more
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On the generalized Laplace transform [PDF]
, 2021 This article belongs to the Special Issue Discrete and Fractional Mathematics: Symmetry and Applications.In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties ...
Bosch, Paul +3 more
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Задача Дирихле для обобщенного уравнения Лаврентьева-Бицадзе с дробной производной Герасимова-Капуто [PDF]
, 2020 Исследована задача Дирихле для дифференциального уравнения в частных производных второго порядка с дробной производной по временной переменной в прямоугольной области. В случае если порядок дробного дифференцирования равен двум, рассматриваемое уравнение
Масаева, О. Х.
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Boundary value problem for a system of partial differential equations with the Dzhrbashyan–Nersesyan fractional differentiation operators [PDF]
, 2022 A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the ...
M.O. Mamchuev
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GeosciencesUsing the data of radon accumulation in a chamber with excess volume at one of the points of the Kamchatka subsurface gas-monitoring network, the change in radon flux density due to seismic waves and post-seismic relaxation of the medium is shown.
Dmitrii Tverdyi +2 more
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Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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Fractal and FractionalIt is a well-known fact that the Dzhrbashyan–Nersesyan fractional derivative includes as particular cases the fractional derivatives of Riemann–Liouville, Gerasimov–Caputo, and Hilfer.
Vladimir E. Fedorov +4 more
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The existence of chaotic regimes of the fractional analogue of the Duffing-type oscillator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In this paper, we study the chaotic regimes of the fractional Duffing oscillator. To do this, using the Wolf algorithm with Gram-Schmidt orthogonalization, we calculated the spectra of maximum Lyapunov exponents depending on the values of the control ...
Roman Ivanovich Parovik
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Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem
, 2017 We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization.
A Chmaj +34 more
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