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

Abstract and Applied Analysis

Research Article

Xiao-Jun Yang³  Mihaela Cristina Baleanu⁵  Carlo Cattani¹  J. A. Tenreiro Machado²  Dumitru Baleanu⁴ 

[1] Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy, unisa.it;Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida 431, 4200-072 Porto, Portugal, ipp.pt;Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China, cumtb.edu.cn;Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia, kau.edu.sa;Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey, cankaya.edu.tr;Institute of Space Sciences, Magurele, Bucharest, Romania;Mihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, Romania

Others  :  1320206
DOI  :  10.1155/2014/535048

 received in 2013-11-09, accepted in 2013-12-08,  发布年份 2013

【 摘 要 】

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.

【 授权许可】

CC BY   
Copyright © 2014 Dumitru Baleanu et al. 2014

【 图 表 】

Figure 1

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