Results 11 to 20 of about 223 (102)
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
doaj +1 more source
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The article presents a software implementation of a parallel efficient and fast computational algorithm for solving the Cauchy problem for a nonlinear differential equation of a fractional variable order.
Tverdyi, D.A. +3 more
doaj +1 more source
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
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
doaj +1 more source
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
doaj +1 more source
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В этой статье была использована дробно-дифференциальная модель физических процессов с насыщением для описания динамики летальных исходов инфекции COVID-19.
Твёрдый, Д.А. +1 more
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.
core +1 more source
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 +2 more
doaj +1 more source
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
core +2 more sources
A new mathematical formulation for a phase change problem with a memory flux [PDF]
, 2018 A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model
Bollati, Julieta +2 more
core +2 more sources