Srivastava H.M.Deni̇z S.Saad K.M.2025-04-102025-04-102021http://hdl.handle.net/20.500.14701/46239In 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. © 2021 The Author(s)Article10.1016/j.jksus.2021.101345