Results 61 to 70 of about 11,807 (127)

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
core   +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

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  

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  

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

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  

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