Computing eigenelements of boundary value problems with fractional derivatives
type: Item
instance of: scholarly article
title: Computing eigenelements of boundary value problems with fractional derivatives
zbMATH Open document ID: 1180.65096
author: Zaid M. Odibat
published in: Applied Mathematics and Computation
publication date: 2010-01-08T00:00:00Z
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34L16
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 5655291
zbMATH Keywords: variational iteration method
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: fractional boundary value problem
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2009.09.049
OpenAlex ID: W2008843360
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Numerical methods for the solution of partial differential equations of fractional order.
cites work: Numerical solutions for systems of fractional differential equations by the decomposition method
cites work: An explicit and numerical solutions of the fractional KdV equation
cites work: Non-perturbative analytical solutions of the space- and time-fractional Burgers equations
cites work: Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
cites work: Algorithm for nonlinear fractional partial differential equations: a selection of numerical methods
cites work: Application of variational iteration method to nonlinear differential equations of fractional order
cites work: Numerical comparison of methods for solving linear differential equations of fractional order
cites work: Numerical approach to differential equations of fractional order
cites work: Numerical methods for nonlinear partial differential equations of fractional order
cites work: Applications of variational iteration and homotopy perturbation methods to fractional evolution equations
cites work: Analytical solution of a fractional diffusion equation by variational iteration method
cites work: Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
cites work: Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
cites work: Compact and noncompact structures for nonlinear fractional evolution equations
cites work: The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
cites work: Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivates
cites work: A generalized differential transform method for linear partial differential equations of fractional order
cites work: Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
cites work: A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
cites work: Series solutions of non-linear Riccati differential equations with fractional order
cites work: Homotopy analysis method for fractional IVPs
cites work: Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
cites work: Variational iteration method for delay differential equations
cites work: Approximate solution of nonlinear differential equations with convolution product nonlinearities
cites work: Approximate analytical solution for seepage flow with fractional derivatives in porous media
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: Variational iteration method for autonomous ordinary differential systems
cites work: Variational Theory for Linear Magneto-Electro-Elasticity
cites work: Variational principles for some nonlinear partial differential equations with variable coefficients
cites work: Application of He's variational iteration method to Helmholtz equation
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: On the variational iteration method
cites work: Solving nonlinear partial differential equations using the modified variational iteration Padé technique
cites work: A comparison between the variational iteration method and Adomian decomposition method
cites work: Reliable approaches of variational iteration method for nonlinear operators
cites work: The variational iteration method for exact solutions of Laplace equation
cites work: The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations
cites work: The variational iteration method for solving linear and nonlinear systems of PDEs
cites work: Variational iteration method for coupled nonlinear Schrödinger equations
cites work: Variational iteration method for solving multispecies Lotka-Volterra equations
cites work: On the variational iteration method and other iterative techniques for nonlinear differential equations
cites work: The Adomian decomposition method for computing eigenelements of Sturm-Liouville two point boundary value problems
cites work: An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
cites work: A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems
cites work: Q5435212
cites work: Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method
cites work: Q4233638
cites work: Q3864730
DOI: 10.1016/J.AMC.2009.09.049
description: scientific article; zbMATH DE number 5655291