Results 21 to 30 of about 40,062 (237)

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

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

On Some Operators Involving Hadamard Derivatives [PDF]

open access: yes, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

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

Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]

open access: yes, 2011
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
M. A. AL-Jawary   +7 more
core   +2 more sources

The HELP inequality on trees [PDF]

open access: yes, 2008
We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph ...
Brown, B. Malcolm   +2 more
core   +1 more source

Oscillations of integro-differential equations

open access: yesDifferential and Integral Equations, 1991
The integro-differential inequality (1) \(\dot y(t)+\int^ t_ 0 K(t- s)y(s)ds\leq 0\), \(t\geq T\) and the corresponding integro-differential equation (2) \(\dot y(t)+\int^ t_ 0 K(t-s)y(s)ds=0\), \(t\geq T\) are considered. Sufficient conditions, under which no positive solution of (1) exists, and necessary and sufficient conditions for existence of a ...
Ladas, G., Philos, Ch. G., Sficas, Y. G.
openaire   +3 more sources

Numerical ansatz for solving integro-differential equations with increasingly smooth memory kernels: spin-boson model and beyond [PDF]

open access: yes, 2007
We present an efficient and stable numerical ansatz for solving a class of integro-differential equations. We define the class as integro-differential equations with increasingly smooth memory kernels.
Zwolak, Michael
core   +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

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