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      PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION

      1 , 2 , 3
      Fractals
      World Scientific Pub Co Pte Ltd

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          Abstract

          Local fractional calculus is used to derive fractional partner of the KdV–Burgers–Kuramoto equation, its physical understanding is elucidated and its solution properties are revealed. Adomian’s decomposition method (ADM) and the variational iteration method (VIM) are applied to obtain its approximate analytical solution, the results have both theoretical importance and practical applications.

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          Most cited references31

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          Homotopy perturbation technique

          Ji-Huan He (1999)
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            SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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              Variational iteration method – a kind of non-linear analytical technique: some examples

              Ji-Huan He (1999)
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                Author and article information

                Contributors
                (View ORCID Profile)
                Journal
                Fractals
                Fractals
                World Scientific Pub Co Pte Ltd
                0218-348X
                1793-6543
                November 2019
                December 09 2019
                November 2019
                : 27
                : 07
                : 1950122
                Affiliations
                [1 ]School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China
                [2 ]School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, P. R. China
                [3 ]National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China
                Article
                10.1142/S0218348X19501226
                02e67fcd-49bf-40cf-bf4b-34bbeae2a1e2
                © 2019
                History

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