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

Autor: M. Mossa Al-Sawalha, Rasool Shah, Kamsing Nonlaopon, Imran Khan, Osama Y. Ababneh
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 2, Pp 3730-3746 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023186?viewType=HTML
Popis: 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.
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