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


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Authors

  • Ibrar Ul Haq
  • Zakir Ullah

Keywords:

Natural transform; Adomian polynomials; Fractional order partial differential equations; Coupled system.

Abstract

In this article, we present a method known as Natural decomposition transform method (NDTM). This method is the 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 (NFPDEs). We obtain the solutions in the form of series which is rapidly converges to the exact solution. Two test examples are provided for the illustration of our method.

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Published

2022-11-07

How to Cite

Ibrar Ul Haq, & Zakir Ullah. (2022). Natural decomposition method and coupled systems of nonlinear fractional order partial differential equations. Results in Nonlinear Analysis, 3(1), 35–44. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/43