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Solution for non-linear fractional partial differential equations using fractional complex transform

Tesfaye Teferi Shone & A. Patra

In this research article, we have adapted fractional complex transform (FCT) in addition some new iterative method i.e. to obtain the relative solution of nonlinear gas dynamics equations. To know about the persuasiveness of the method, we apply the method to solve such two examples of fractional differential equations which are completely nonlinear. The approximation results obtained from FCT are compared with the exact solution. From the results it can be concluded that the proposed method is very auspicious, simple and clout.2

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Publication date:
May 30, 2019
DOI:
10.20372/nadre:13293

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Keyword(s):
Caputo derivative · Fractional complex transform · Gas dynamic equations
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International Journal of Applied and Computational Mathematics: 5.
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