Revised variational iteration method for solving systems of nonlinear fractional-order differential equations
type: Item
instance of: scholarly article
title: Revised variational iteration method for solving systems of nonlinear fractional-order differential equations
zbMATH Open document ID: 1296.34031
DOI: 10.1155/2013/461837
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional-order differential equations is proposed. The fractional derivatives are described in the Caputo sense. The solutions of fractional differential equations (FDE) obtained using the traditional variational iteration method give good approximations in the neighborhood of the initial position. The main advantage of the present method is that it can accelerate the convergence of the iterative approximate solutions relative to the approximate solutions obtained using the traditional variational iteration method. Illustrative examples are presented to show the validity of this modification.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6306844
zbMATH Keywords: Caputo
Wikidata QID: Q58916324
author: Canan Ünlü
author: Hossein Jafari
author: D. Baleanu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/461837
OpenAlex ID: W2070360810
cites work: Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
cites work: On the solution set for a class of sequential fractional differential equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Applications of fractional calculus in physics
cites work: Q5699297
cites work: Q5190149
cites work: Q4233638
cites work: Q3141895
cites work: Fractional vector calculus and fractional Maxwell's equations
cites work: A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
cites work: Tuning of PID controllers based on Bode's ideal transfer function
cites work: Optimal control of fractional diffusion equation
cites work: Optimal tuning of fractional controllers using genetic algorithms
cites work: State-space representation for fractional order controllers
cites work: On a system of differential equations with fractional derivatives arising in rod theory
cites work: A new approach to nonlinear partial differential equations
cites work: New applications of variational iteration method
cites work: Variational iteration method for autonomous ordinary differential systems
cites work: Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
cites work: A local fractional variational iteration method for Laplace equation within local fractional operators
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
cites work: Adomian decomposition: a tool for solving a system of fractional differential equations
cites work: Revised Adomian decomposition method for solving a system of nonlinear equations
cites work: Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations
cites work: Application of He's variational iteration method to Helmholtz equation
cites work: Improvement of He's variational iteration method for solving systems of differential equations
description: scientific article; zbMATH DE number 6306844