Results 31 to 40 of about 203 (139)

ON THE INVERSE PROBLEM OF THE BITSADZE–SAMARSKII TYPE FOR A FRACTIONAL PARABOLIC EQUATION [PDF]

, 2023
In this paper, the inverse problem of the Bitsadze–Samarsky type is studied for a fractional order equation with a Hadamard–Caputo fractional differentiation operator. The problem is solved using the spectral method.
B. J. Kadirkulov, B. Kh.Turmetov, R. R. Ashurov   +2 more
core   +2 more sources

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

Hereditary Mathematical Model of the Dynamics of Radon Accumulation in the Accumulation Chamber

Mathematics, 2023
Mathematical modeling is used to study the hereditary mechanism of the accumulation of radioactive radon gas in a chamber with gas-discharge counters at several observation points in Kamchatka.
Dmitrii Tverdyi, Evgeny Makarov, Roman Parovik   +2 more
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
openaire   +1 more source

Special functions as solutions to the Euler-Poisson-Darboux equation with a fractional power of the Bessel operator [PDF]

, 2021
In this paper, we consider fractional ordinary differential equations and the fractional Euler-Poisson-Darboux equation with fractional derivatives in the form of a power of the Bessel differential operator.
Dzarakhohov, A., Luchko, Yu., Shishkina, E.   +2 more
core   +1 more source

NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018
The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
doaj   +1 more source

Models of Delay Differential Equations [PDF]

, 2022
This book gathers a number of selected contributions aimed at providing a balanced picture of the main research lines in the realm of delay differential equations and their applications to mathematical modelling.

core   +1 more source

Hybrid GPU–CPU Efficient Implementation of a Parallel Numerical Algorithm for Solving the Cauchy Problem for a Nonlinear Differential Riccati Equation of Fractional Variable Order

Mathematics, 2023
The numerical solution for fractional dynamics problems can create a high computational load, which makes it necessary to implement efficient algorithms for their solution.
Dmitrii Tverdyi, Roman Parovik
doaj   +1 more source

A Modified Fractional Derivative and its Application to Fractional Vibration Equation [PDF]

, 2016
In this paper, a new modified definition of the fractional derivative is presented. The Laplace transform of the modified fractional derivative involves the initial values of the integer-order derivatives, but does not involve the initial values of the ...
Duan, Jun-Sheng
core   +2 more sources

Mathematical Modeling of Linear Fractional Oscillators

Mathematics, 2020
In this work, based on Newton’s second law, taking into account heredity, an equation is derived for a linear hereditary oscillator (LHO). Then, by choosing a power-law memory function, the transition to a model equation with Gerasimov–Caputo fractional ...
Roman Parovik
doaj   +1 more source