Results 31 to 40 of about 13,021 (91)

Fractional Diffusion–Wave Equation with Application in Electrodynamics

Mathematics, 2020
We consider a diffusion–wave equation with fractional derivative with respect to the time variable, defined on infinite interval, and with the starting point at minus infinity.
Arsen Pskhu, Sergo Rekhviashvili
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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
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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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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 Riccati equation to model the dynamics of COVID-19 coronovirus infection

Journal of Physics: Conference Series, 2021
The article proposes a mathematical model based on the fractional Riccati equation to describe the dynamics of COVID-19 coronavirus infection in the Republic of Uzbekistan and the Russian Federation.
D. Tverdyi, R. Parovik
semanticscholar   +1 more source

Steklov problem of the first class for a fractional order delay differential equation

Вестник КРАУНЦ. Физико-математические науки, 2021
Методом функции Грина получено решение задачи Стеклова первого класса для линейного уравнения с дробной производной Герасимова-Капуто с запаздывающим аргументом. Доказана теорема существования и единственности задачи. The solution to the Steklov problem
М.Г. Мажгихова
semanticscholar   +1 more source

Computer modeling of the dynamics of migration processes of soluble substances in the case of groundwater filtration with free surface on the base of the fractional derivative approach

Natsional'na Akademiya Nauk Ukrainy. Dopovidi: naukovyi zhurnal, 2018
The mathematical modeling of the fractional differential dynamics of the process of anomalous convective diffusion of soluble substances is conducted for the case of flat-vertical steady state groundwater filtration with free surface.
Vsevolod Bohaienko, V. Bulavatsky
semanticscholar   +1 more source

On a Ssystem of Coupled Linear Oscillators with Fractional Friction and Non-Constant Coefficients for Describing Geoacoustic Emission

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The paper proposes a generalization of the previously obtained mathematical model of geoacoustic emission, according to which the model takes into account the effects of heredity in dissipative terms.
Sergienko, D.F., Parovik, R.I.
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Математическая модель дробного осциллятора Ван дер Поля-Эйри

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
В работе предложена математическая модель нелинейного осциллятора Ван дер Поля-Эйри с учетом наследственности. Нелинейность осциллятора обусловлена наличием зависимости коэффициента трения от квадрата функции смещения, что характерно для осциллятора Ван ...
Салимова, А.И., Паровик, Р.И.   +1 more
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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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