Results 11 to 20 of about 70 (59)

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
doaj   +1 more source

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
doaj   +1 more source

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
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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
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

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
doaj   +1 more source

Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems

Mathematics, 2020
We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on ...
Liana Eneeva, Arsen Pskhu, Sergo Rekhviashvili   +2 more
doaj   +1 more source

Solution to the fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type

, 2020
in ...
Shishkina, Elina, Sitnik, Sergey
openaire   +2 more sources

Нелокальная краевая задача для уравнения с производными дробного порядка с различными началами

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023
Рассматривается линейное обыкновенное дифференциальное уравнение дробного порядка с композицией лево- и правосторонних операторов дробных производных в главной части.
Энеева, Л.М.
doaj   +1 more source

Recent applications of fractional calculus to science and engineering

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3413-3442, 2003., 2003
This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional‐order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology.
Lokenath Debnath
wiley   +1 more source