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

Noufe H. Aljahdaly, Ravi P. Agarwal, Rasool Shah and Thongchai Botmart
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Noufe H. Aljahdaly: Department of Mathematics, Faculty of Sciences and Arts, Rabigh Campus, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Texas A & M University, Kingsville, TX 78363, USA
Rasool Shah: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Thongchai Botmart: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2021, vol. 9, issue 18, 1-24

Abstract: 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.

Keywords: Caputo–Fabrizio and Atangana–Baleanu operators; Adomian decomposition method; Natural transform; Burgers equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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