Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Belghaba, Kacem

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Now showing 1 - 3 of 3
  • Article
    Exact Solution for Nonlinear Local Fractional Partial Differential Equations
    (Shahid Chamran University of Ahvaz, 2020) Ziane, Djelloul; Baleanu, Dumitru; Cherif, Mountassir Hamdi; Belghaba, Kacem
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Exact Solution for Nonlinear Local Fractional Partial Differential Equations
    (Shahid Chamran Univ Ahvaz, Iran, 2020) Cherif, Mountassir Hamdi; Baleanu, Dumitru; Belghaba, Kacem; Ziane, Djelloul
    In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we apply this new algorithm to resolve the nonlinear local fractional gas dynamics equation and nonlinear local fractional Klein-Gordon equation, so we get the desired non-differentiable exact solutions. The steps to solve the examples and the results obtained, showed the flexibility of applying this algorithm, and therefore, it can be applied to similar examples.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 8
    Non-Differentiable Solution of Nonlinear Biological Population Model on Cantor Sets
    (Mdpi, 2020) Cherif, Mountassir Hamdi; Baleanu, Dumitru; Belghaba, Kacem; Ziane, Djelloul
    The main objective of this study is to apply the local fractional homotopy analysis method (LFHAM) to obtain the non-differentiable solution of two nonlinear partial differential equations of the biological population model on Cantor sets. The derivative operator are taken in the local fractional sense. Two examples have been presented showing the effectiveness of this method in solving this model on Cantor sets.