Analysis of Fractional Differential Equations with the Help of Different Operators

Iqbal, Naveed and Al Harbi, Moteb Fheed Saad and Alshammari, Saleh and Zaland, Shamsullah and Nadeem, Muhammad (2022) Analysis of Fractional Differential Equations with the Help of Different Operators. Advances in Mathematical Physics, 2022. pp. 1-17. ISSN 1687-9120

[thumbnail of 1333109.pdf] Text
1333109.pdf - Published Version

Download (1MB)

Abstract

This study uses an Elzaki decomposition method with two fractional derivatives to solve a fractional nonlinear coupled system of Whitham-Broer-Kaup equations. For the fractional derivatives, we used Caputo and Atangana-Baleanu derivatives in the Caputo manner. Furthermore, the proposed techniques are compared to the solutions of other renowned analytical methods, including the Adomian decomposition technique, variation iteration technique, and homotopy perturbation technique. We used two nonlinear problems to illustrate the accuracy and validity of the proposed approaches. The results of numerical simulations were used to verify that the proposed methods are accurate and efficient, and the results are displayed in graphs and tables. The obtained results demonstrate that the algorithm is very real, simple to apply, and effective in investigating the nature of complicated nonlinear models in science and engineering.

Item Type: Article
Subjects: GO for STM > Mathematical Science
Depositing User: Unnamed user with email support@goforstm.com
Date Deposited: 19 Jan 2023 12:16
Last Modified: 31 Aug 2023 04:39
URI: http://archive.article4submit.com/id/eprint/31

Actions (login required)

View Item
View Item