Results 51 to 60 of about 223 (102)

The second boundary value problem in a half-strip for a B-parabolic equation with the Gerasimov–Caputo time derivative [PDF]

Вестник КРАУНЦ. Физико-математические науки, 2020
В работе исследуется вторая краевая задача в полуполосе для параболического уравнения с оператором Бесселя, действующим по пространственной переменной, и частной производной Герасимова–Капуто по времени. Доказаны теоремы существования и единственности решения рассматриваемой задачи.
openaire   +1 more source

Ідентифікація параметрів однієї дробово-диференціальної моделі міграції розчинних речовин [PDF]

, 2019
Розглядається задача ідентифікації параметрів моделі у випадку математичного моделювання дробово-диференціальної динаміки аномального процесу конвективної дифузії розчинних речовин при профільній усталеній фільтрації ґрунтових вод з вільною поверхнею ...
Богаєнко, В.А., Булавацький, В.М., Гладкий, А.В.   +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
doaj   +1 more source

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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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
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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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Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey [PDF]

, 2007
2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order.
Gorenflo, Rudolf, Mainardi, Francesco
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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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Caputo Derivatives in Viscoelasticity: A Non-Linear Finite-Deformation Theory for Tissue [PDF]

, 2007
Mathematics Subject Classification: 26A33, 74B20, 74D10, 74L15The popular elastic law of Fung that describes the non-linear stress- strain behavior of soft biological tissues is extended into a viscoelastic material model that incorporates fractional ...
Diethelm, Kai, Freed, Alan
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