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    Application of generalized differential transform method to multi-order fractional differential equations 

    Ertürk, Vedat Suak; Momani, Shaher; Odibat, Zaid ( Elsevier , 2007 , Article)
    In a recent paper [Odibat Z, Momani S, Erturk VS. Generalized differential transform method: application to differential equations of fractional order, Appl Math Comput. submitted for publication] the authors presented a ...
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    Solving systems of fractional differential equations using differential transform method 

    Ertürk, Vedat Suat; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
    This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application ...
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    Numerical methods for nonlinear partial differential equations of fractional order 

    Odibat, Zaid; Momani, Shaher ( Elsevier B.V. , 2008 , Article)
    In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The ...
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    A generalized differential transform method for linear partial differential equations of fractional order 

    Odibat, Zaid; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
    In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional ...
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    Solving fractional diffusion and wave equations by modified homotopy perturbation method 

    Jafari, Hossein; Momani, Shaher ( Elsevier B.V. , 2007 , Article)
    This Letter applies the modified He's homotopy perturbation method (HPM) suggested by Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and wave equations. The fractional derivative is ...
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    Homotopy perturbation method for nonlinear partial differential equations of fractional order 

    Momani, Shaher; Odibat, Zaid ( Elsevier B.V. , 2007 , Article)
    The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is ...

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    Author
      Momani, Shaher (6) Odibat, Zaid (4) Ertürk, Vedat Suak (1) Ertürk, Vedat Suat (1) ... View More
    Type
    • Article (6)
    Subject
    • Caputo fractional derivative (6)
    • Differential transform method (3) Fractional differential equation (3) Fractional differential equations (2) ... View More
    Publication Date
      2007 (5) 2008 (1)
    Accessioned Date
      2010 (5) 2009 (1)
    Has File(s)
      No (4) Yes (2)

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