Results 11 to 20 of about 210 (124)

An analogue of the Lyapunov inequality for an ordinary second-order differential equation with a fractional derivative and a variable coefficient [PDF]

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   +3 more sources

Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

Axioms, 2023
In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
doaj   +2 more sources

Cauchy problem for a system of equations with the partial Gerasimov – Caputo derivatives

REPORTS ADYGE (CIRCASSIAN) INTERNATIONAL ACADEMY OF SCIENCES, 2021
For the system of equations with the partial Gerasimov – Caputo derivatives, a general representation of regular in a rectangular domain solutions is constructed. Cauchy problem is investigated.
M.O. Mamchuev, null null
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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   +3 more sources

О задаче оптимизации для определения вида функциональной зависимости переменного порядка дробной производной типа Герасимова-Капуто

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
При решении задач математического моделирования часто приходится обращаться к теории интегрально-дифференциального исчисления. С ее помощью можно описывать динамические процессы самой разной природы.
Твёрдый, Д.А., Паровик, Р.И.   +1 more
doaj   +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

Application of the Riccati hereditary mathematical model to the study of the dynamics of radon accumulation in the storage chamber [PDF]

EPJ Web of Conferences, 2021
The article proposes a mathematical model of radon accumulation in a chamber, which takes into account the hereditary properties of the environment in which radon migrates.
Tverdyi Dmitryi, Parovik Roman, Makarov Evgeniy, Firstov Pavel, Alimova Nazira   +4 more
doaj   +1 more source

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

Some Aspects of Numerical Analysis for a Model Nonlinear Fractional Variable Order Equation

Mathematical and Computational Applications, 2021
The article proposes a nonlocal explicit finite-difference scheme for the numerical solution of a nonlinear, ordinary differential equation with a derivative of a fractional variable order of the Gerasimov–Caputo type.
Roman Parovik, Dmitriy Tverdyi
doaj   +1 more source

An efficient method for the analytical study of linear and nonlinear time-fractional partial differential equations with variable coefficients [PDF]

, 2023
The residual power series method is effective for obtaining approximate analytical solutions to fractional-order differential equations. This method, however, requires the derivative to compute the coefficients of terms in a series solution.
Akgül, A., Liaqat, M. I., Prosviryakov, E. Y.   +2 more
core   +1 more source