WoS İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.Elsevier Science incSubject: search.filters.subject.Caputo Fractional Derivative

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  • Article
    Citation - WoS: 62
    Citation - Scopus: 80
    A New Iterative Technique for a Fractional Model of Nonlinear Zakharov-Kuznetsov Equations Via Sumudu Transform
    (Elsevier Science inc, 2018) Kumar, Manoj; Baleanu, Dumitru; Prakash, Amit
    The main objective of this paper is to suggest a new computational technique namely new iterative Sumudu transform method (NISTM) to solve numerically nonlinear time-fractional Zakharov-Kuznetsov (FZK) equation in two dimensions. We implemented the proposed technique on two test examples, plotted the solution and compared the absolute error with the variational iterative technique (VIM) and homotopy perturbation transform method (HPTM). (C) 2018 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 143
    Citation - Scopus: 159
    An Efficient Numerical Algorithm for the Fractional Drinfeld-Sokolov Equation
    (Elsevier Science inc, 2018) Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila; Singh, Jagdev
    The fundamental purpose of the present paper is to apply an effective numerical algorithm based on the mixture of homotopy analysis technique, Sumudu transform approach and homotopy polynomials to obtain the approximate solution of a nonlinear fractional Drinfeld-Sokolov-Wilson equation. The nonlinear Drinfeld-Sokolov-Wilson equation naturally occurs in dispersive water waves. The uniqueness and convergence analysis are shown for the suggested technique. The convergence of the solution is fixed and managed by auxiliary parameter h. The numerical results are shown graphically. Results obtained by the application of the technique disclose that the suggested scheme is very accurate, flexible, effective and simple to use. (C) 2018 Elsevier Inc. All rights reserved.