WoS İndeksli Yayınlar Koleksiyonu

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

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2016 - 20173

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Publisher: search.filters.publisher.Editura Acad RomaneSubject: search.filters.subject.Local Fractional Derivative

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 34
    Citation - Scopus: 30
    New Solutions of the Transport Equations in Porous Media Within Local Fractional Derivative
    (Editura Acad Romane, 2016) Zhang, Yu; Baleanu, Dumitru; Baleanu, Dumitru; Yang, Xiao-Jun; Matematik
    In this manuscript we use the series expansion method within local fractional derivative to obtain the solutions of both homogeneous and non-homogeneous transport equations. The new reported solutions are able to describe more efficiently the behavior of solutions of the transport phenomena in porous media.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 18
    New Results for Multidimensional Diffusion Equations in Fractal Dimensional Space
    (Editura Acad Romane, 2016) Ma, Min; Baleanu, Dumitru; Baleanu, Dumitru; Gasimov, Yusif S.; Yang, Xiao-Jun; Matematik
    The multidimensional diffusion equations in fractal dimensional space started to play an important role in physics. In this paper we present the analytical solutions of the multidimensional diffusion equations in fractal dimensional spaces by using the method of separation of variables. The graphs of the exact solutions are presented and the accuracy and efficiency of the approach are revealed for a class of local fractional partial differential equations.
  • 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.