WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
A New Approach in Solving Regular and Singular Conformable Fractional Coupled Burger’s Equations
Authors: , , , ,
Abstract: The conformable double ARA decomposition approach is presented in this current study to solve one-dimensional regular and singular conformable functional Burger's equations. We investigate the conformable double ARA transform's definition, existence requirements, and some basic properties. In this study, we introduce a novel interesting method that combines the double ARA transform with Adomian’s decomposition method, in order to find the precise solutions of some nonlinear fractional problems. Moreover, we use the new approach to solve Burgers' equations for both regular and singular conformable fractional coupled systems. We also provide several instances to demonstrate the usefulness of the current study. Mathematica software has been used to get numerical results.
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Keywords: Conformable ARA transform, Conformable double ARA decomposition method, Singular one-dimensional coupled Burgers’ equation, Conformable partial fractional derivative
Pages: 298-314
DOI: 10.37394/23206.2023.22.36