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

被引：42
|
作者：
Aljahdaly, Noufe H. [1 ]
Agarwal, Ravi P. [2 ]
Shah, Rasool [3 ]
Botmart, Thongchai [4 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci & Arts, Rabigh Campus, Jeddah 21589, Saudi Arabia
[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[3] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan
[4] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
来源：
MATHEMATICS | 2021年 / 9卷 / 18期
关键词：
Caputo-Fabrizio and Atangana-Baleanu operators; Adomian decomposition method; Natural transform; Burgers equations; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; MODEL;
D O I：
10.3390/math9182326
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：24
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