Results 61 to 70 of about 244 (107)

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
core  

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.
core  

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
core   +2 more sources

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

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
core  

Inverse problem for fractional order subdiffusion equation

, 2023
The study examines the inverse problem of finding the appropriate right-hand side for the subdiffusion equation with the Caputo fractional derivative in a Hilbert space represented by $H$.
Shakarova, Marjona
core  

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

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

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +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

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