WoS İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.MdpiSubject: search.filters.subject.Local Fractional Variational Iteration Method

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  • Article
    Citation - WoS: 34
    Citation - Scopus: 60
    Solving Helmholtz Equation With Local Fractional Derivative Operators
    (Mdpi, 2019) Jassim, Hassan Kamil; Al Qurashi, Maysaa; Baleanu, Dumitru
    The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM), for solving the two-dimensional Helmholtz and coupled Helmholtz equations with local fractional derivative operators (LFDOs). The operators are taken in the local fractional sense. Two test problems are presented to demonstrate the efficiency and the accuracy of the proposed method. The approximate solutions obtained are compared with the results obtained by the local fractional Laplace decomposition method (LFLDM). The results reveal that the LFLVIM is very effective and convenient to solve linear and nonlinear PDEs.
  • Article
    Citation - WoS: 27
    Citation - Scopus: 61
    On the Approximate Solutions of Local Fractional Differential Equations With Local Fractional Operators
    (Mdpi, 2016) Tchier, Fairouz; Baleanu, Dumitru; Jafari, Hossein; Jassim, Hassan Kamil
    In this paper, we consider the local fractional decomposition method, variational iteration method, and differential transform method for analytic treatment of linear and nonlinear local fractional differential equations, homogeneous or nonhomogeneous. The operators are taken in the local fractional sense. Some examples are given to demonstrate the simplicity and the efficiency of the presented methods.