Scopus İndeksli Yayınlar Koleksiyonu

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

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2013 - 20162

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Publisher: search.filters.publisher.SciendoSubject: search.filters.subject.Fractional Differential Equations

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Now showing 1 - 2 of 2
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Variational Iteration Method - a Promising Technique for Constructing Equivalent Integral Equations of Fractional Order
    (Sciendo, 2013) Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Yi-Hong
    The variational iteration method is newly used to construct various integral equations of fractional order. Some iterative schemes are proposed which fully use the method and the predictor-corrector approach. The fractional Bagley-Torvik equation is then illustrated as an example of multi-order and the results show the efficiency of the variational iteration method's new role.
  • Article
    Citation - WoS: 45
    Citation - Scopus: 48
    Laplace Homotopy Perturbation Method for Burgers Equation With Space- and Time-Fractional Order
    (Sciendo, 2016) Jafari, H.; Moshokoa, S. P.; Ariyan, V. M.; Baleanu, D.; Johnston, S. J.
    The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain the approximate analytical solution of space-fractional and time-fractional Burgers equations. The method used combines the Laplace transform and the homotopy perturbation method. Numerical results show that the approach is easy to implement and accurate when applied to partial differential equations of fractional orders.