Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative-Reference-Cited by-同舟云学术

Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Yang Ai-Min¹²^ORCID,Li Jie¹³,Srivastava H. M.⁴,Xie Gong-Nan⁵,Yang Xiao-Jun⁶

Affiliation:

1. College of Science, Hebei United University, Tangshan 063009, China

2. College of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China

3. School of Materials and Metallurgy, Northeast University, Shenyang 110819, China

4. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4

5. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, Shaanxi 710048, China

6. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Abstract

The local fractional Laplace variational iteration method was applied to solve the linear local fractional partial differential equations. The local fractional Laplace variational iteration method is coupled by the local fractional variational iteration method and Laplace transform. The nondifferentiable approximate solutions are obtained and their graphs are also shown.

Funder

National Scientific and Technological Support Projects

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2014/365981.pdf

Reference23 articles.

1. Advances in Fractional Calculus

2. North-Holland Mathematics Studies,2006

3. A Spectral Legendre–Gauss–Lobatto Collocation Method for a Space-Fractional Advection Diffusion Equations with Variable Coefficients