Results 81 to 90 of about 210 (124)

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source

Estimation of Radon Flux Density Changes in Temporal Vicinity of the Shipunskoe Earthquake with M_w = 7.0, 17 August 2024 with the Use of the Hereditary Mathematical Model

Geosciences
Using the data of radon accumulation in a chamber with excess volume at one of the points of the Kamchatka subsurface gas-monitoring network, the change in radon flux density due to seismic waves and post-seismic relaxation of the medium is shown.
Dmitrii Tverdyi, Evgeny Makarov, Roman Parovik   +2 more
doaj   +1 more source

НЕЛОКАЛЬНАЯ МОДЕЛЬ НЕОКЛАССИЧЕСКОГО ЭКОНОМИЧЕСКОГО РОСТА СОЛОУ

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2012
В работе предложено обобщение модели Солоу, когда изменения ресурсов в производственной функции описывается производными дробных порядков в смысле Герасимова – Капуто.
Samuta, V.V., Strelova, V.A., Parovik, R.I.   +2 more
doaj   +1 more source

Optimal Control Problem for a Linear Pseudoparabolic Equation with Final Condition, Degeneration and Gerasimov-Caputo Operator

Azerbaijan Journal of Mathematics
Summary: In this paper, a linear mixed optimal control problem for a fractional analogue of a pseudoparabolic differential equation with final point integral condition and degeneration is considered in rectangular domain for \(0< \alpha \leq 1\).
Yuldashev, T. K., Ramazanova, A. T., Shermamatov, Zh. Zh.   +2 more
openaire   +2 more sources

On the Numerical Solution of the Basic Equation of Wave Mechanics with the Gerasimov – Caputo Fractional Derivative

Yugra State University Bulletin
Subject of research: initial-boundary value problem for the fundamental equation of fractional wave mechanics with fractional Gerasimov – Kaputo time derivative and the influence of the numerical solution parameters on the accuracy and stability of quantum system modeling.
Georgy A. Neverov, Natalia D. Ivanova
openaire   +1 more source

The 2nd International Conference on Mathematical Modelling in Applied Sciences, ICMMAS’19, Belgorod, Russia, August 20-24, 2019 : book of abstracts [PDF]

, 2019
The proposed Scientific Program of the conference is including plenary lectures, contributed oral talks, poster sessions and listeners.

core  

A Study of the Efficiency of Parallel Computing for Constructing Bifurcation Diagrams of the Fractional Selkov Oscillator with Variable Coefficients and Memory

Computation
This paper presents a comprehensive performance analysis and practical implementation of a parallel algorithm for constructing bifurcation diagrams of the fractional Selkov oscillator with variable coefficients and memory (SFO).
Dmitriy Tverdyi, Roman Parovik
doaj   +1 more source

An Analysis of the Computational Complexity and Efficiency of Various Algorithms for Solving a Nonlinear Model of Radon Volumetric Activity with a Fractional Derivative of a Variable Order

Computation
The article presents a study of the computational complexity and efficiency of various parallel algorithms that implement the numerical solution of the equation in the hereditary α(t)-model of radon volumetric activity (RVA) in a storage chamber.
Dmitrii Tverdyi
doaj   +1 more source

Fractional-Diffraction-Optics Cauchy Problem: Resolvent-Function Solution of the Matrix Integral Equation

The fractional diffraction optics theory has been elaborated using the Green function technique. The optics-fractional equation describing the diffraction X-ray scattering by imperfect crystals has been derived as the fractional matrix integral Fredholm--
Chukhovskii, Felix N., Mamchuev, Murat O.   +1 more
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Inverse problem for determining the order of fractional derivative in mixed-type equations

In this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov-Caputo of ...
Ashurov, R. R., Zunnunov, R. T.
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