WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Publisher: search.filters.publisher.World Scientific Publ Co Pte LtdSubject: search.filters.subject.Local Fractional Derivative

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  • Article
    Citation - WoS: 182
    Exact Traveling-Wave Solution for Local Fractional Boussinesq Equation in Fractal Domain
    (World Scientific Publ Co Pte Ltd, 2017) Tenreiro Machado, J. A.; Baleanu, Dumitru; Yang, Xiao-Jun
    The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of the non-differentiable type is adopted to convert the local fractional Boussinesq equation into a nonlinear local fractional ODE. The exact traveling wave solution is also obtained with aid of the non-differentiable graph. The proposed method, involving the fractal special functions, is efficient for finding the exact solutions of the nonlinear PDEs in fractal domains.