Results 31 to 40 of about 485,712 (256)

Inverse Problem for a Mixed Type Integro-Differential Equation with Fractional Order Caputo Operators and Spectral Parameters

open access: yesAxioms, 2020
The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
T. Yuldashev, E. Karimov
semanticscholar   +1 more source

A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
doaj   +1 more source

The implicit numerical method for the one-dimensional anomalous subdiffusion equation with a nonlinear source term [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2021
In the paper, the numerical method of solving the one-dimensional subdiffusion equation with the source term is presented. In the approach used, the key role is played by transforming of the partial differential equation into an equivalent integro ...
Marek Błasik
doaj   +1 more source

The Bernstein Technique for Integro-Differential Equations [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2022
We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, including some convex fully nonlinear equations of order smaller than two -- for which we prove uniform estimates as their order approaches two.
Cabré Vilagut, Xavier   +2 more
openaire   +3 more sources

An ordinary integro-differential equation with a degenerate kernel and an integral condition

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
doaj   +1 more source

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

open access: yesAdvances in Difference Equations, 2021
In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj   +1 more source

On the Stability of Delay Integro-Differential Equations [PDF]

open access: yesMathematical and Computational Applications, 2007
Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.
YALÇINBAŞ, SALİH   +1 more
openaire   +2 more sources

A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

open access: yesFractal and Fractional, 2021
This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour   +4 more
doaj   +1 more source

Bounded and multiperiodic solutions of the system of partial integro-differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova   +3 more
doaj   +1 more source

Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor

open access: yesMathematical methods in the applied sciences, 2020
The inverse problems of determining the energy–temperature relation α(t) and the heat conduction relation k(t) functions in the one‐dimensional integro‐differential heat equation are investigated.
D. Durdiev, Z. Zhumaev
semanticscholar   +1 more source

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