Results 51 to 60 of about 11,807 (127)

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, Carmenate García, Héctor José, Rodríguez García, José Manuel, Sigarreta Almira, José María   +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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Estimation of Radon Flux Density Changes in Temporal Vicinity of the Shipunskoe Earthquake with M_w = 7.0, 17 August 2024 with the Use of the Hereditary Mathematical Model

Geosciences
Using 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, Evgeny Makarov, Roman Parovik   +2 more
doaj   +1 more source

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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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, A Kiselev, A Kluwick, AA Kilbas, AI Volpert, B Alvarez-Samaniego, B Perthame, BT Hayes, BT Hayes, C Gui, C Rohde, CH Chan, D Jacobs, F Achleitner, F Achleitner, F Achleitner, F Mainardi, G Palatucci, H Dong, J Coville, J Droniou, J Droniou, J Endal, JL Bona, L Caffarelli, N Alibaud, N Alibaud, N Alibaud, P Biler, PI Naumkin, PW Bates, X Cabré, X Cabré, X Cabré, X Chen   +34 more
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Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes

, 2020
The aim of this paper is to solve numerically, using the meshless method via radial basis functions, time-space-fractional partial differential equations of type Black-Scholes.
Brambila-Paz, F., Torres-Hernandez, A., Torres-Martínez, C. A.   +2 more
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Initial Value Problems of Linear Equations with the Dzhrbashyan-Nersesyan Derivative in Banach Spaces

Symmetry, 2021
Among the many different definitions of the fractional derivative, the Riemann–Liouville and Gerasimov–Caputo derivatives are most commonly used. In this paper, we consider the equations with the Dzhrbashyan–Nersesyan fractional derivative, which ...
V. Fedorov, M. Plekhanova, E. Izhberdeeva   +2 more
semanticscholar   +1 more source

Fractional Newton-Raphson Method and Some Variants for the Solution of Non-linear Systems

, 2020
The following document presents some novel numerical methods valid for one and several variables, which using the fractional derivative, allow to find solutions for some non-linear systems in the complex space using real initial conditions. The origin of
Brambila-Paz, F., Torres-Hernandez, A.
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