Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms

Iqbal, Naveed; Yasmin, Humaira; Rezaiguia, Ali; Kafle, Jeevan; Almatroud, A. Othman; Hassan, Taher S.

doi:https://doi.org/10.1155/2021/2567927

Journal of Mathematics

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Abstract Introduction Conclusion Data Availability Conflicts of Interest Acknowledgments References Copyright Related Articles

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Methods in Dynamical Systems and Applications in Engineering

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Research Article | Open Access

Volume 2021 | Article ID 2567927 | https://doi.org/10.1155/2021/2567927

Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms

Naveed Iqbal,¹Humaira Yasmin,²Ali Rezaiguia,^1,3Jeevan Kafle ,⁴A. Othman Almatroud,¹and Taher S. Hassan^1,5

Academic Editor: Fairouz Tchier

Received27 Sept 2021

Revised02 Nov 2021

Accepted08 Dec 2021

Published26 Dec 2021

Abstract

In this article, we develop a technique to determine the analytical result of some Kaup–Kupershmidt equations with the aid of a modified technique called the new iteration transform method. This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration technique. The nonlinear term can be handled easily by a new iteration technique. The results show that the combination of the Elzaki transformation and the new iteration technique is quite capable and basically well suited for applying in such problems and that it can be implemented to other nonlinear models. This technique is viewed as an effective alternative approach to certain existing approaches for such accurate models.

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Copyright

Copyright © 2021 Naveed Iqbal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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