Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM

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ID: 10589
2019
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Abstract
In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs. The proposed method yields a numerical approximate solution in the form of an infinite series that converges to a closed form solution, which is in many cases the exact solution. We inspect its efficiency in solving systems of CFPDEs by working on four different nonlinear systems. The results show that CFRDTM gave similar solutions to exact solutions, confirming its proficiency as a competent technique for solving CFPDEs systems. It required very little computational work and hence consumed much less time compared to other numerical methods.
Reference Key
abir2019analyticinternational Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Chaouk, Abir;Jneid, Maher;Chaouk, Abir;Jneid, Maher;
Journal international journal of mathematics and mathematical sciences
Year 2019
DOI
10.1155/2019/7869516
URL
https://www.hindawi.com/journals/ijmms/2019/7869516/abs/
Keywords Keywords not found

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