$Convergence of variational iteration method for solving singular partial differential equations of fractional order$
QR Code

QR Code

Convergence of variational iteration method for solving singular partial differential equations of fractional order

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum ab...

Full description

Bibliographic Details
Main Authors:	Elbeleze, Asma Ali, Kilicman, Adem, M. Taib, Bachok
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2014
Online Access:	http://psasir.upm.edu.my/id/eprint/36912/ http://psasir.upm.edu.my/id/eprint/36912/1/36912.pdf

Similar Items

Fractional variational iteration method and its application to fractional partial differential equation
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Solving fractional partial differential equations with corrected Fourier series method
by: Zainal, Nor Hafizah, et al.
Published: (2014)

Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform
by: Elbeleze, Asma Ali, et al.
Published: (2013)

A variational-fixed point iterative technique for the solution of second order differential equations
by: Kilicman, Adem, et al.
Published: (2016)

The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods
by: Kadem, Abdelouahab, et al.
Published: (2012)

Some solution of the fractional iterative integro-differential equations
by: Kilicman, Adem, et al.
Published: (2018)

On the application of multi-dimensional laplace decomposition method for solving singular fractional pseudo-hyperbolic equations
by: Eltayeb, Hassan, et al.
Published: (2022)

A multi-point iterative method for solving nonlinear equations with optimal order of convergence
by: Nik Long, Nik Mohd Asri, et al.
Published: (2018)

Residual Methods For Solving Fractional Differential Equations With Singular Kernels
by: Abuomar, Mohammed M. A.
Published: (2023)

Approximate solutions for non-linear iterative fractional differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
by: Liu, Lishan, et al.
Published: (2016)

Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix
by: Basim, M., et al.
Published: (2023)

Mixed solutions of monotone iterative technique for hybrid fractional differential equations
by: Damag, Faten H., et al.
Published: (2019)

Nonlocal fractional order differential equations with changing-sign singular perturbation
by: Zhang, Xinguang, et al.
Published: (2013)

Iterative algorithm and estimation of solution for a fractional order differential equation
by: Wu, J., et al.
Published: (2016)

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
by: Damag, Faten H. M., et al.
Published: (2017)

Third order convergence iterative method for multiple roots of nonlinear equation
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters
by: Guo, L., et al.
Published: (2018)

The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
by: Zhang, X., et al.
Published: (2012)

Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation
by: Wu, J., et al.
Published: (2018)

The iterative solutions of nonlinear fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2013)

New third order convergence iterative method for finding multiple roots of nonlinear equations
by: Jamaludin, Nur Alif Akid, et al.
Published: (2018)

Solving fractional differential equations using iterative homotopy analysis method / Lee Meng Oon
by: Lee , Meng Oon
Published: (2021)

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity
by: Wu, J., et al.
Published: (2018)

The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
by: Atangana, Abdon, et al.
Published: (2013)

Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
by: Singh, Jagdev, et al.
Published: (2014)

Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)

Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)

Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method
by: Asaduzzaman, Md., et al.
Published: (2024)

Solving partial and fraction differential equations using corrected fourier series method
by: Zainal, Nor Hafizah
Published: (2014)

Iterative solution to singular nth-order nonlocal boundary value problems
by: Hao, X., et al.
Published: (2015)

A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics
by: Nasab, Aliasghar Kazemi, et al.
Published: (2015)

Numerical solution of singularly perturbed delay differential equations with layer behavior
by: Ghomanjani, Fateme, et al.
Published: (2014)

Solving the singularly perturbation problems of delay differential equations numerically
by: Jaaffar, Nur Tasnem, et al.
Published: (2021)