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  • Results in Nonlinear Analysis
  • Volume:3 Issue:1
  • Natural decomposition method and coupled systems of nonlinear fractional order partial differential ...

Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations

Authors : Ibrar HAQ, Zakir ULLAH
Pages : 35-44
View : 25 | Download : 26
Publication Date : 2020-03-31
Article Type : Research Paper
Abstract :In this article, we present a method known as the Natural decomposition transform method insert ignore into journalissuearticles values(NDTM);. This method is a couple of Natural transform and Adomian decomposition method. By means of this new method, we successfully handle some coupled systems of nonlinear fractional-order partial differential equations insert ignore into journalissuearticles values(NFPDEs);. We obtain the solutions in the form of series which rapidly converges to the exact solution. Two test examples are provided for the illustration of our method.
Keywords : Natural transform, Adomian polynomials, Coupled system, Fractional order partial differential equations

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