WoS İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Gao, FengSubject: search.filters.subject.Local Fractional Derivative

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  • Article
    Citation - WoS: 34
    Citation - Scopus: 36
    New Analytical Solutions for Klein-Gordon and Helmholtz Equations in Fractal Dimensional Space
    (Editura Acad Romane, 2017) Yang, Xiao-Jun; Baleanu, Dumitru; Baleanu, Dumitru; Gao, Feng; Matematik
    We consider the local fractional Klein Gordon equation and Helmholtz equation in (1+1) fractal dimensional space. The local fractional Laplace series expansion method is used to solve the local fractional partial differential equations in fractal dimensional space. We present the non differentiable analytical solutions and the corresponding graphs. The obtained results illustrate the accuracy and efficiency of this approach to local fractional partial differential equations.
  • Article
    Citation - WoS: 32
    A New Numerical Technique for Local Fractional Diffusion Equation in Fractal Heat Transfer
    (int Scientific Research Publications, 2016) Tenreiro Machado, J. A.; Baleanu, Dumitru; Gao, Feng; Yang, Xiao-Jun
    In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace transform (LT), is firstly proposed. It is considered in the local fractional derivative operator for obtaining the non-differential solution for diffusion equation in fractal heat transfer. (C) 2016 All rights reserved.