Abstract
In this paper, we describe a novel approach for solving one-dimensional regular and singular conformable functional Burger's equations, which we call the conformable double Sumudu composition method. The conformable double Sumudu transform's existence condition was investigated. We updated the double Sumudu transform and paired it with the Adomian decomposition approach to give the accurate answer for nonlinear fractional issues. The novel approach was then used to solve regular and singular con-formable fractional coupled Burgers equations. We also give several instances to demonstrate the efficacy of the current strategy (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).