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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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
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spelling doaj-2c3f100e34584aaa9911dc958331bc372021-09-26T00:38:39ZengMDPI AGMathematics2227-73902021-09-0192326232610.3390/math9182326Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel OperatorsNoufe H. Aljahdaly0Ravi P. Agarwal1Rasool Shah2Thongchai Botmart3Department of Mathematics, Faculty of Sciences and Arts, Rabigh Campus, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Texas A & M University, Kingsville, TX 78363, USADepartment of Mathematics, Abdul Wali Khan University, Mardan 23200, PakistanDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn 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.https://www.mdpi.com/2227-7390/9/18/2326Caputo–Fabrizio and Atangana–Baleanu operatorsAdomian decomposition methodNatural transformBurgers equations
collection DOAJ
language English
format Article
sources DOAJ
author Noufe H. Aljahdaly
Ravi P. Agarwal
Rasool Shah
Thongchai Botmart
spellingShingle Noufe H. Aljahdaly
Ravi P. Agarwal
Rasool Shah
Thongchai Botmart
Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
Mathematics
Caputo–Fabrizio and Atangana–Baleanu operators
Adomian decomposition method
Natural transform
Burgers equations
author_facet Noufe H. Aljahdaly
Ravi P. Agarwal
Rasool Shah
Thongchai Botmart
author_sort Noufe H. Aljahdaly
title Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
title_short Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
title_full Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
title_fullStr Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
title_full_unstemmed Analysis of the Time Fractional-Order Coupled Burgers Equations with Non-Singular Kernel Operators
title_sort analysis of the time fractional-order coupled burgers equations with non-singular kernel operators
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-09-01
description 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.
topic Caputo–Fabrizio and Atangana–Baleanu operators
Adomian decomposition method
Natural transform
Burgers equations
url https://www.mdpi.com/2227-7390/9/18/2326
work_keys_str_mv AT noufehaljahdaly analysisofthetimefractionalordercoupledburgersequationswithnonsingularkerneloperators
AT ravipagarwal analysisofthetimefractionalordercoupledburgersequationswithnonsingularkerneloperators
AT rasoolshah analysisofthetimefractionalordercoupledburgersequationswithnonsingularkerneloperators
AT thongchaibotmart analysisofthetimefractionalordercoupledburgersequationswithnonsingularkerneloperators
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