Results 31 to 40 of about 89 (84)

Hille–Yosida-Type Theorem for Fractional Differential Equations with Dzhrbashyan–Nersesyan Derivative

Fractal and Fractional
It 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, Wei-Shih Du, Marko Kostić, Marina V. Plekhanova, Darya V. Melekhina   +4 more
doaj   +1 more source

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

An Analysis of the Computational Complexity and Efficiency of Various Algorithms for Solving a Nonlinear Model of Radon Volumetric Activity with a Fractional Derivative of a Variable Order

Computation
The article presents a study of the computational complexity and efficiency of various parallel algorithms that implement the numerical solution of the equation in the hereditary α(t)-model of radon volumetric activity (RVA) in a storage chamber.
Dmitrii Tverdyi
doaj   +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.
doaj   +1 more source

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
doaj   +1 more source

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source

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
doaj   +1 more source

The optimization problem for determining the functional dependence of the variable order of the fractional derivative of the Gerasimov-Caputo type

Вестник КРАУНЦ. Физико-математические науки
При решении задач математического моделирования часто приходится обращаться к теории интегрально-дифференциального исчисления. С ее помощью можно описывать динамические процессы самой разной природы. Использование аппарата дробных производных позволяет уточнить некоторые из этих моделей за счет учета в уравнениях эффекта памяти.
Tvërdyĭ, Dmitriĭ Aleksandrovich, Parovik, Roman Ivanovich   +1 more
openaire   +1 more source

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
openaire   +1 more source