Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative
Authors:
Open Access
- 1 January 2014
- journal article
- research article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 2014, 1-9
Abstract
We propose the variational iteration transform method in the sense of local fractional derivative, which is derived from the coupling method of local fractional variational iteration method and differential transform method. The method reduces the integral calculation of the usual variational iteration computations to more easily handled differential operation. And the technique is more orderly and easier to analyze computing result as compared with the local fractional variational iteration method. Some examples are illustrated to show the feature of the presented technique.Keywords
Funding Information
- National Natural Science Foundation of China (609040410, 112300410300, NYNU2005k37)
- Foundation and Advanced Technology Research Program of Henan Province (609040410, 112300410300, NYNU2005k37)
- Nanyang Normal University (609040410, 112300410300, NYNU2005k37)
This publication has 30 references indexed in Scilit:
- Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with DelayAbstract and Applied Analysis, 2013
- Analysis of Fractal Wave Equations by Local Fractional Fourier Series MethodAdvances in Mathematical Physics, 2013
- Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value ProblemsAbstract and Applied Analysis, 2013
- A Local Fractional Variational Iteration Method for Laplace Equation within Local Fractional OperatorsAbstract and Applied Analysis, 2013
- The operational matrix of fractional integration for shifted Chebyshev polynomialsApplied Mathematics Letters, 2013
- Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor SetsAbstract and Applied Analysis, 2013
- A new modified generalized Laguerre operational matrix of fractional integration for solving fractional differential equations on the half lineAdvances in Difference Equations, 2012
- A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervalsBoundary Value Problems, 2012
- Fractional Calculus2012
- Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivativesRheologica Acta, 2005