Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators-Reference-Cited by-同舟云学术

Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Baleanu Dumitru¹²³,Tenreiro Machado J. A.⁴,Cattani Carlo⁵,Baleanu Mihaela Cristina⁶,Yang Xiao-Jun⁷

Affiliation:

1. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

2. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

3. Institute of Space Sciences, Magurele, Bucharest, Romania

4. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida 431, 4200-072 Porto, Portugal

5. Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy

6. Mihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, Romania

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

Abstract

We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense. The results illustrate the significant features of the two methods which are both very effective and straightforward for solving the differential equations with local fractional derivative.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/535048.pdf

Reference36 articles.

1. Fractional diffusion and wave equations

2. Fractional difference/finite element approximations for the time–space fractional telegraph equation

3. Variational iteration method for solving the space- and time-fractional KdV equation

Cited by 41 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability and Bifurcation Analysis of Rössler System in Fractional Order;Lecture Notes in Electrical Engineering;2023

2. Computational Analysis of Local Fractional LWR Model Occurring in a Fractal Vehicular Traffic Flow;Fractal and Fractional;2022-07-31

3. The Efficient Techniques for Non-Linear Fractional View Analysis of the KdV Equation;Frontiers in Physics;2022-07-25

4. Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow;Journal of Computational and Nonlinear Dynamics;2022-06-07

5. A hybrid computational method for local fractional dissipative and damped wave equations in fractal media;Waves in Random and Complex Media;2022-03-30