Fractional evaluation of Kaup-Kupershmidt equation with the exponential-decay kernel

被引:5
作者
Al-Sawalha, M. Mossa [1 ]
Shah, Rasool [2 ]
Nonlaopon, Kamsing [3 ]
Khan, Imran [4 ]
Ababneh, Osama Y. [5 ]
机构
[1] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia
[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan
[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[4] Bacha Khan Univ Charsadda, Dept Math & Stat, Peshawar, Pakistan
[5] Zarqa Univ, Fac Sci, Dept Math, Zarqa 13110, Jordan
来源
AIMS MATHEMATICS | 2022年 / 8卷 / 02期
关键词
Kaup-Kupershmidt equation; Yang transform; new iterative transform method; Caputo-Fabrizio operator; DIFFERENTIAL-EQUATIONS; MODEL; STRATEGY;
D O I
10.3934/math.2023186
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the semi-analytical solution of Kaup-Kupershmidt equations with the help of a modified method known as the new iteration transformation technique. This method combines the Yang transform and the new iteration technique. The nonlinear terms can be calculated straightforwardly by a new iteration method. The numerical simulation results have been presented to demonstrate the reliability and validity of the proposed approach. The result confirms that the suggested technique is the best tool for dealing with any nonlinear problems arising in technology and science. In addition, in terms of figures for varying fractional order, the physical behavior of new iteration transformation technique solutions has been shown and the numerical simulation is also exhibited. The solutions of the new iteration transformation technique reveal that the projected technique is reliable, competitive and powerful for studying complex nonlinear fractional type models.
引用
收藏
页码:3730 / 3746
页数:17
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