Results 11 to 20 of about 110,191 (226)

About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations [PDF]

open access: gold, 2013
The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration. The main idea of this method is to reduce integro-differential equations to auxiliary systems of ordinary differential ...
Yakov Goltser, Alexander Domoshnitsky
openalex   +2 more sources

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

open access: yesAdvances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali   +5 more
doaj   +2 more sources

Averaging method in optimal control problems for integro-differential equations

open access: yesOpen Mathematics
The averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter.
Lakhva Roksolana   +3 more
doaj   +2 more sources

Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]

open access: yesE3S Web of Conferences, 2023
The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A.   +4 more
doaj   +1 more source

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

open access: yesAdvances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem   +3 more
doaj   +1 more source

Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations

open access: yesDiscrete Dynamics in Nature and Society, 2021
Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
doaj   +1 more source

Approximate Solution for Nonlinear System of Integro-Differential Equations of Volterra Type with Boundary Conditions [PDF]

open access: yesمجلة التربية والعلم, 2019
In this study we investigate the approximation of the solution for nonlinear system of integro-differential equations of Volterra type with boundary conditions.
Ghada Jameel
doaj   +1 more source

On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications

open access: yesBoundary Value Problems, 2009
We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly),
Angela Gallo, Anna Maria Piccirillo
doaj   +2 more sources

An application of artificial neural networks for solving fractional higher-order linear integro-differential equations

open access: yesBoundary Value Problems, 2023
This ongoing work is vehemently dedicated to the investigation of a class of ordinary linear Volterra type integro-differential equations with fractional order in numerical mode.
T. Allahviranloo   +7 more
semanticscholar   +1 more source

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