Sezer, Sefa AnilYildirim, AhmetMohyud-Din, Syed Tauseef2019-10-272019-10-2720110961-55390961-5539https://doi.org/10.1108/09615531111123119https://hdl.handle.net/11454/45074Purpose - The purpose of this paper is to directly extend the homotopy perturbation method (HPM) that was developed for integer-order differential equation, to derive explicit and numerical solutions of the fractional KdV-Burgers-Kuramoto equation. Design/methodology/approach - The authors used Maple Package to calculate the functions obtained from the HPM. Findings - The fractional derivatives are described in the Caputo sense. HPM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. Originality/value - The paper describes how the HPM has been successfully applied to find the solution of fractional KdV-Burgers-Kuramoto equation.en10.1108/09615531111123119info:eu-repo/semantics/closedAccessDifferential equationsMathematicsArticle2103.Apr448458WOS:000292344300013Q3