An analytical approach for Shehu transform on fractional coupled 1D, 2D and 3D Burgers’ equations

Abstract Obtaining the numerical approximation of fractional partial differential equations (PDEs) is a cumbersome task. Therefore, more researchers regarding approximated-analytical solutions such complex-natured PDEs (FPDEs) are required. In this article, analytical-approximated fractional-order coupled Burgers’ equation provided in one-, two-, and three-dimensions. The proposed technique named as Iterative Shehu Transform Method (ISTM). simplicity accurateness method affirmed through five examples. Graphical representation tabular discussion to compare exact approximated results. robustness regime also validated by error analysis. present work, compared verify validity scheme. Error analysis which efficiency scheme can be assured. Obtained errors lesser than