  The conformable double ARA decomposition approach is presented in this
current study to solve one-dimensional regular and singular conformable
functional Burger's equations. We investigate the conformable double ARA
transform's definition, existence requirements, and some basic properties. In
this study, we introduce a novel interesting method that combines the double
ARA transform with Adomian's decomposition method, in order to find the precise
solutions of some nonlinear fractional problems. Moreover, we use the new
approach to solve Burgers' equations for both regular and singular conformable
fractional coupled systems. We also provide several instances to demonstrate
the usefulness of the current study. Mathematica software has been used to get
numerical results.
