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

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Scopus Q: search.filters.scopusQuartile.Q1Subject: search.filters.subject.Local Fractional Variational Iteration Method

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  • Article
    Citation - WoS: 30
    Citation - Scopus: 51
    A Novel Approach for Korteweg-De Vries Equation of Fractional Order
    (Shahid Chamran Univ Ahvaz, Iran, 2019) Baleanu, Dumitru; Jassim, Hassan Kamil
    In this study, the local fractional variational iteration method (LFVIM) and the local fractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractional derivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in mathematical physics.
  • 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.