Evaluation of regularized long-wave equation via Caputo and Caputo-Fabrizio fractional derivatives-Reference-Cited by-同舟云学术

Evaluation of regularized long-wave equation via Caputo and Caputo-Fabrizio fractional derivatives

Published:2022 Issue:11 Volume:7 Page:20401-20419
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Iqbal Naveed¹,Alshammari Saleh¹,Botmart Thongchai²

Affiliation:

1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

<abstract><p>The analytical solution of fractional-order regularized long waves in the context of various operators is presented in this study as a framework for the homotopy perturbation transform technique. To investigate regularized long wave equations, we first establish the Yang transform of the fractional Caputo and Caputo-Fabrizio operators. The fractional order regularized long wave equation is solved using the Yang transform as well. The accuracy of the proposed operators are verified using numerical problems, and the resulting solutions are shown in the figures. The solutions demonstrate how the suggested approach is accurate and suitable for analyzing nonlinear physical and engineering challenges.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference44 articles.

1. S. Pandit, Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model, Wave Motion, 109 (2022), 102846. https://doi.org/10.1016/j.wavemoti.2021.102846

2. A. Saad Alshehry, M. Imran, A. Khan, W. Weera, Fractional view analysis of Kuramoto-Sivashinsky equations with Non-Singular kernel operators, Symmetry, 14 (2022), 1463. https://doi.org/10.3390/sym14071463

3. R. Mittal, S. Pandit, Quasilinearized Scale-3 Haar wavelets-based algorithm for numerical simulation of fractional dynamical systems, Eng. Comput., 35 (2018), 1907–1931. https://doi.org/10.1108/ec-09-2017-0347

4. S. Kumar, R. Jiwari, R. Mittal, Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model, Wave Motion, 109 (2022), 102863. https://doi.org/10.1016/j.wavemoti.2021.102863

5. M. Caputo, Elasticita e Dissipazione, Zani-Chelli, Bologna, 1969. (In Italian)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis and numerical simulation of fractional Bloch model arising in magnetic resonance imaging using novel iterative technique;Optical and Quantum Electronics;2024-01-30

2. Caputo-fabrizio fractional-order systems: periodic solution and stabilization of non-periodic solution with application to gunn diode oscillator;Physica Scripta;2023-11-24

3. Numerical analysis of multi-dimensional time-fractional diffusion problems under the Atangana-Baleanu Caputo derivative;Mathematical Biosciences and Engineering;2023

4. A NEW FRACTAL TRANSFORM FOR THE APPROXIMATE SOLUTION OF DRINFELD–SOKOLOV–WILSON MODEL WITH FRACTAL DERIVATIVES;Fractals;2022-12-24