New approximation solution for time-fractional Kudryashov-Sinelshchikov equation using novel technique

In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equa-tion (NFPDE). This method is highly effective in obtaining approximate solutions for strongly NFPDEs. The accuracy of the method is evaluated by estimating the error between the exact and approximate solutions. By applying this method, we obtain solutions for the KS equation at different values of the fractional order derivative and at different stages of time. These solutions are presented through tables and graphs, highlighting the behavior of the KS equation under var-ious conditions.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).