An efficient semi-analytical method for solving the generalized regularized long wave equations with a new fractional derivative operator
Date
2021
Authors
Srivastava, H.M.
Deniz, Sinan
Saad, Khaled M.
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of King Saud University - Science
Abstract
In this work, the newly developed optimal perturbation iteration technique with Laplace transform is applied to the generalized regularized long wave equations with a new fractional operator to obtain new approximate solutions. We transform the classical generalized regularized long wave equations to fractional differential form by using the Atangana-Baleanu fractional derivative which is defined with the Mittag-Leffler function. To show the efficiency of the proposed method, a numerical example is given for different values of physical parameters.
Description
Keywords
Optimal perturbation iteration method, Generalized regularized long wave equations, Atangana-Baleanu derivative, Convergence
Citation
Srivastava, H. M., Deniz, S., & Saad, K. M. (2021). An efficient semi-analytical method for solving the generalized regularized long wave equations with a new fractional derivative operator. Journal of King Saud University - Science, 33(2), 1-7. https://doi.org/10.1016/j.jksus.2021.101345.