Results 31 to 40 of about 167 (78)

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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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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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
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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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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
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Initial boundary value problem for a high-order equation with two lines of degeneracy with the Caputo derivative

, 2023
In the article, in a rectangular domain, by the Fourier method, the initial boundary value problem for a high-order equation with two lines of degeneracy with a fractional derivative in the sense of Caputo is investigated for uniqueness and solvability ...
Irgashev, B. Yu.
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Компьютерное моделирование динамики процесса миграции растворимых веществ при фильтрации грунтовых вод со свободной поверхностью на основе дробно-дифференциального подхода [PDF]

, 2018
Выполнено математическое моделирование дробно-дифференциальной динамики аномального процесса конвективной диффузии растворимых веществ при плоско-вертикальной установившейся фильтрации грунтовых вод со свободной поверхностью.
Богаенко, В.А., Булавацкий, В.М.   +1 more
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Controlo ótimo fracionário e aplicações biológicas [PDF]

, 2022
In this PhD thesis, we derive a Pontryagin Maximum Principle (PMP) for fractional optimal control problems and analyze a fractional mathematical model of COVID– 19 transmission dynamics.
Ndaïrou, Faïçal
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