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

Abstract

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 equation (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 various conditions.

Keywords

• Kudryashov-Sinelshchikov equation
• Novel analytical method
• Caputo fractional derivatives and integrals