Results 11 to 20 of about 197 (96)

An Initial Problem for a Class of Weakly Degenerate Semilinear Equations with Lower Order Fractional Derivatives

Известия Иркутского государственного университета: Серия "Математика", 2021
An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
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Application of the Fractional Riccati Equation for Mathematical Modeling of Dynamic Processes with Saturation and Memory Effect

Fractal and Fractional, 2022
In this study, the model Riccati equation with variable coefficients as functions, as well as a derivative of a fractional variable order (VO) of the Gerasimov-Caputo type, is used to approximate the data for some physical processes with saturation.
Dmitriy Tverdyi, Roman Parovik
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Non-Local Initial-Boundary Value Problem for a Degenerate Fourth-Order Equation with a Fractional Gerasimov-Caputo Derivative

Вестник КРАУНЦ. Физико-математические науки, 2023
В последнее время интенсивно изучаются начально – граничные задачи в прямоугольной области для дифференциальных уравнений в частных производных как четного, так и нечетного порядка. При этом в качестве объекта исследования, в основном, берется не вырождающееся уравнение или уравнение, вырождающееся на одной стороне четырехугольника.
Urinov, Akhmadzhon Kushakovich, Usmonov, Doniër Abdumutolib ugli   +1 more
openaire   +1 more source

An analogue of the Lyapunov inequality for an ordinary second-order differential equation with a fractional derivative and a variable coefficient

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper studies an ordinary second-order differential equation with a fractional differentiation operator in the sense of Riemann-Liouville with a variable coefficient.
B.I. Efendiev
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On Strongly Continuous Resolving Families of Operators for Fractional Distributed Order Equations

Fractal and Fractional, 2021
The aim of this work is to find by the methods of the Laplace transform the conditions for the existence of a strongly continuous resolving family of operators for a linear homogeneous equation in a Banach space with the distributed Gerasimov–Caputo ...
Vladimir E. Fedorov, Nikolay V. Filin
doaj   +1 more source

The Regularized Mesh Scheme to Solve Quasilinear Parabolic Equation with Time-Fractional Derivative [PDF]

, 2021
A quasilinear parabolic problem with a time fractional derivative of the Caputo type and mixed boundary conditions is considered. The coefficients of the elliptic operator depend on the gradient of the solution, and this operator is uniformly monotone ...
Laitinen, E., Lapin, A. V.
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Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators

Fractal and Fractional, 2023
The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov, Marko Kostić, Tatyana A. Zakharova   +2 more
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A Generalization of the Hopf-Cole Transformation [PDF]

, 2012
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
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Review of Some Promising Fractional Physical Models [PDF]

, 2015
Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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Fractional model of COVID-19 applied to Galicia, Spain and Portugal [PDF]

, 2023
Xunta de Galicia | Ref. ED431C 2019/02Agencia Estatal de Investigación | Ref. MTM2016-75140-PInstituto de Salud Carlos III | Ref.
Area Carracedo, Iván Carlos, Ndaïrou, Faïçal, Nieto Roig, Juan José, Silva, Cristiana J., Torres, Delfim F.M.   +4 more
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