Abstract and Applied Analysis

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

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

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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.

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 535048, 6 pages.

First available in Project Euclid: 26 March 2014

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Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun. Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators. Abstr. Appl. Anal. 2014 (2014), Article ID 535048, 6 pages. doi:10.1155/2014/535048. https://projecteuclid.org/euclid.aaa/1395853727

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