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

Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun

doi:10.1155/2014/535048

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

Author(s): Dumitru Baleanu , J. A. Tenreiro Machado , Carlo Cattani , Mihaela Cristina Baleanu , Xiao-Jun Yang

Publication date Created: 2014

Publication date (Print): 2014

Journal: Abstract and Applied Analysis

Publisher: Hindawi Limited

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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.