Convergence of variational iteration method for fractional delay integrodifferential-algebraic equations
type: Item
instance of: scholarly article
title: Convergence of variational iteration method for fractional delay integrodifferential-algebraic equations
zbMATH Open document ID: 1426.34083
DOI: 10.1155/2017/6749643
author: Yayun Fu
author: Hongliang Liu
author: Aiguo Xiao
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Fractional order delay integrodifferential-algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The iterative methods are good choice. In the present paper, we construct variational iteration method for solving them by using the appropriate restricted variation. This overcomes the difficulties caused by limitations of large storage amount and algebraic constraint and extends the previous conclusions.
Mathematics Subject Classification ID: 34K07
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 6972372
Wikidata QID: Q59147711
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6749643
OpenAlex ID: W2615709397
cites work: Stability for a class of fractional partial integro-differential equations
cites work: Lyapunov stability solutions of fractional integrodifferential equations
cites work: Q5409475
cites work: Solution of fractional integro-differential equations by using fractional differential transform method
cites work: Spectral collocation method for linear fractional integro-differential equations
cites work: Numerical solution of fractional integro-differential equations by a hybrid collocation method
cites work: Numerical solution of fractional integro-differential equations by collocation method
cites work: Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
cites work: Approximate solution of fractional integro-differential equations by Taylor expansion method
cites work: Stability criteria for differential-algebraic equations with multiple delays and their numerical solutions
cites work: Asymptotic behavior for linear delay-differential equations with periodically oscillatory coefficients
cites work: Q3640426
cites work: Numerical treatment of retarded differential-algebraic equations by collocation methods
cites work: Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay
cites work: Q3114019
cites work: Stability of two-step Runge–Kutta methods for neutral delay differential-algebraic equations
cites work: Stability of the Rosenbrock methods for the neutral delay differential-algebraic equations
cites work: Implicit Runge-Kutta methods for some integrodifferential-algebraic equations
cites work: The stability of two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations with many delays
cites work: Stability of Runge-Kutta methods for neutral delay-integro-differential-algebraic system
cites work: A new approach to nonlinear partial differential equations
cites work: Construction of solitary solution and compacton-like solution by variational iteration method
cites work: Variational iteration method -- some recent results and new interpretations
cites work: Variational iteration method for singular perturbation initial value problems
cites work: Variational iteration method for singular perturbation initial value problems with delays
cites work: Convergence of variational iteration method for second-order delay differential equations
cites work: The variational iteration method for solving a neutral functional-differential equation with proportional delays
cites work: A fractional variational iteration method for solving fractional nonlinear differential equations
cites work: He's variational iteration method for solving fractional Riccati differential equation
cites work: Local fractional Laplace variational iteration method for solving linear partial differential equations with local fractional derivative
cites work: Variational iteration method for delay differential-algebraic equations
cites work: Numerical comparison of methods for solving fractional differential-algebraic equations (FDAEs)
description: scientific article; zbMATH DE number 6972372