Analytical solution of non-linear fractional Burger's equation in the framework of different fractional derivative operators

被引：21

作者：

Malyk, Igor ^{[1
]}

Shrahili, Mansour Mohammed A. ^{[2
]}

Shafay, Ahmed Roby ^{[3
]}

Goswami, Pranay ^{[4
]}

Sharma, Shivani ^{[5
]}

Dubey, Ravi Shanker ^{[5
]}

机构：

[1] Yuriy Fedkovych Chernivtsi Natl Univ, Dept Syst Anal & Insurance & Financial Math, 28 Unversitetska St, UA-58012 Chernovtsy, Ukraine

[2] King Saud Univ, Dept Stat & Operat Res, Coll Sci, Riyadh, Saudi Arabia

[3] Fayoum Univ, Fac Sci, Math Dept, Al Fayyum, Egypt

[4] Dr BR Ambedkar Univ Delhi, Sch Liberal Studies, Delhi 110006, India

[5] AMITY Univ, Dept Math, AMITY Sch Appl Sci, Jaipur 302002, Rajasthan, India

来源：

RESULTS IN PHYSICS | 2020年 / 19卷

关键词：

Fractional calculus; Burger's equation; Yang-Abdel-Cattani; Atangana-Baleanu; Caputo-Fabrizio; Liouville Caputo operator; MODEL;

D O I：

10.1016/j.rinp.2020.103397

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we extend the Burger's equation to the time-fractional Burger's equation based on different derivative operators as Yang-Abdel-Cattani, Atangana-Baleanu, Caputo-Fabrizio, and Liouville-Caputo. The analytical solutions for these different time-fractional Burger's equation are determined by employing the delta-Homotopy Analysis Transform Method. Further, we study the comparison of analytical solutions obtained from different derivative operators numerically and graphically.

引用

页数：7

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