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

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

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...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.352-357-836
Hauptverfasser: Baleanu, Mihaela Cristina, Cattani, Carlo, Tenreiro Machado, José António, Baleanu, Dumitru, Yang, Xiao-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Colleges & universities
Comparative analysis
Decomposition
Decomposition (Mathematics)
Derivatives
Differential equations
Fourier transforms
Fractals
Fuzzy sets
Iterative methods (Mathematics)
Laplace transforms
Mathematical research
Mathematics
Methods
Operators
Partial differential equations
Set theory
Wave equation
Wave equations
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Beschreibung
Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/535048