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Singh, J., Kumar, D. and Rathore, S. (2012) Application of Homotopy Perturbation Transform Method for Solving Linear and Nonlinear Klein-Gordon Equations. Information and Computation, 7, 131-139.

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• TITLE: Natural Transform for Solving Fractional Models

  AUTHORS: Ahmed Safwat Abdel-Rady, Saad Zagloul Rida, Anas Ahmed Mohamed Arafa, Hamdy Ragab Abedl-Rahim

  KEYWORDS: Fractional Calculus, Natural Transform, A Domain Decomposition Natural Transform Method (ADNTM), Fokker-Planck Equation, Schrödinger Equation, Kelin-Gorden Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.12, December 24, 2015

  ABSTRACT: In this paper, we present a novel technique to obtain approximate analytical solution of fractional physical models. The new technique is a combination of a domain decomposition method and natural transform method called a domain decomposition natural transform method (ADNTM). The fractional derivatives are considered in Caputo sense. To illustrate the power and reliability of the method some applications are provided.