Results 21 to 30 of about 47,860 (125)

Integrated Resolving Functions for Equations with Gerasimov–Caputo Derivatives

Symmetry, 2023
The concept of a β-integrated resolving function for a linear equation with a Gerasimov–Caputo fractional derivative is introduced into consideration. A number of properties of such functions are proved, and conditions for the solvability of the Cauchy problem to linear homogeneous and inhomogeneous equations are found in the case of the existence of a
Vladimir E. Fedorov, Anton S. Skorynin, Amar Debbouche   +2 more
openaire   +2 more sources

The second boundary value problem in a half-strip for a B-parabolic equation with the Gerasimov–Caputo time derivative [PDF]

Вестник КРАУНЦ. Физико-математические науки, 2020
В работе исследуется вторая краевая задача в полуполосе для параболического уравнения с оператором Бесселя, действующим по пространственной переменной, и частной производной Герасимова–Капуто по времени. Доказаны теоремы существования и единственности решения рассматриваемой задачи.
Ф.Г. Хуштова
openaire   +2 more sources

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   +3 more sources

Linear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial case

Журнал «Математические заметки СВФУ», 2020
Исследуется однозначная разрешимость линейных обратных задач с независящим от времени неизвестным коэффициентом для эволюционного уравнения в банаховом пространстве с вырожденным оператором при дробной производной Герасимова-Капуто. Предполагается, что пара операторов в уравнении (при дробной производной и при искомой функции) порождает разрешающее ...
Nagumanova, Anna Viktorovna, Fedorov, Vladimir Evgen'evich   +1 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   +2 more sources

(ω, c)−periodic solution for an impulsive system of differential equations with the quadrate of Gerasimov–Caputo fractional operator and maxima

, 2023
Existence and uniqueness of (ω, c)−periodic solution of boundary value problem for a nonlinear system of ordinary differential equations with the quadrate of Gerasimov–Caputo operator, impulsive effects and maxima are studied.
Tursun K. Yuldashev
core   +2 more sources

Selkov’s Dynamic System of Fractional Variable Order with Non-Constant Coefficients

Mathematics
This article uses an approach based on the triad model–algorithm–program. The model is a nonlinear dynamic Selkov system with non-constant coefficients and fractional derivatives of the Gerasimov–Caputo type.
Roman Parovik
doaj   +2 more sources

On a Periodic Solution for an Impulsive System of Differential Equations with Gerasimov–Caputo Fractional Operator and Maxima

, 2023
<p>Existence and uniqueness of (ω, c)−periodic solution of boundary value problem for a system of ordinary differential equations with Gerasimov–Caputo operator, impulsive effects and maxima are investigated.
Afandiyev, Rakib, Afandiyev, Rakib
core   +2 more sources

Analysis of a Finite Difference Method for a Time-Fractional Black–Scholes Equation

Fractal and Fractional
The goal of this paper is to give an error analysis of a finite difference method for a time-fractional Black–Scholes equation with weakly singular solutions.
Qingzhao Li, Chaobao Huang, Tao Sun, Hu Chen   +3 more
doaj   +2 more sources

Fractional Calculus in Physics: A Brief Review of Fundamental Formalisms

Mathematics
Fractional calculus provides powerful tools for modeling nonlocality, dissipative systems, and, when defined in the time representation, provides an interesting memory effect in mathematical physics.
Cresus Fonseca de Lima Godinho, Ion Vasile Vancea   +1 more
doaj   +2 more sources