Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators

Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators

In this article, we have investigated the fractional-order Burgers equation via Natural decomposition method with nonsingular kernel derivatives. The two types of fractional derivatives are used in the article of Caputo–Fabrizio and Atangana–Baleanu derivative. We employed Natural transform on fract...

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Bibliographic Details
Main Authors: Noufe H. Aljahdaly, Ravi P. Agarwal, Rasool Shah, Thongchai Botmart
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
Caputo–Fabrizio and Atangana–Baleanu operators
Adomian decomposition method
Natural transform
Burgers equations
Online Access:https://www.mdpi.com/2227-7390/9/18/2326
Description
Summary:In this article, we have investigated the fractional-order Burgers equation via Natural decomposition method with nonsingular kernel derivatives. The two types of fractional derivatives are used in the article of Caputo–Fabrizio and Atangana–Baleanu derivative. We employed Natural transform on fractional-order Burgers equation followed by inverse Natural transform, to achieve the result of the equations. To validate the method, we have considered a two examples and compared with the exact results.
ISSN:2227-7390

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