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

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

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.

Suggested Citation

  • Dumitru Baleanu & J. A. Tenreiro Machado & Carlo Cattani & Mihaela Cristina Baleanu & Xiao-Jun Yang, 2014. "Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnlaaa:535048
    DOI: 10.1155/2014/535048
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    Cited by:

    1. Hassan Kamil Jassim, 2015. "New Approaches for Solving Fokker Planck Equation on Cantor Sets within Local Fractional Operators," Journal of Mathematics, Hindawi, vol. 2015, pages 1-8, December.
    2. Yeliz Karaca & Carlo Cattani & Majaz Moonis & Şengül Bayrak, 2018. "Stroke Subtype Clustering by Multifractal Bayesian Denoising with Fuzzy Means and -Means Algorithms," Complexity, Hindawi, vol. 2018, pages 1-15, April.

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