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  5. A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations
 
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A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations

Journal
Partial Differential Equations in Applied Mathematics
ISSN
2666-8181
Date Issued
2024-09
Author(s)
Dumitru Baleanu
Hassan Kamil Jassim
Hijaz Ahmed
Jagdev Singh
Devendra Kumar
Rasool Shah
Lamees K. Alzaki
Muslim Y. Zayir
Mountassir H. Cherif
Mohammed A. Hussein
Kadhim A. Jabbar
DOI
https://doi.org/10.1016/j.padiff.2024.100741
Abstract
In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model’s mathematical solution. The solution’s existence and uniqueness are examined using fixed point theory. Several numerical simulations that enhance the efficacy of the employed derivative are presented and discussed.
Subjects

Fixed point theory La...

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1-s2.0-S266681812400127X-main.pdf

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