A novel study for fractional Navier–Stokes and fractional coupled Navier Stoke’s equation via Yang ADM in Caputo–Fabrizio sense

In the current study, fractional Navier Stokes and coupled fractional Navier Stokes equations in various dimensions are approximated semi-analytically. In this study, the Yang transform in Caputo Fabrizio sense and Adomian Decomposition Method are combined. Because it can be challenging to deal with the numerical or analytical results of complex-natured fractional differential equations. As a result, semi-analytical solutions are produced in this area. The graphical depiction validates the comparability of the approximated and analytical results. Furthermore, this publication additionally verifies the numerical convergence component. It can be asserted that the current regime will unquestionably be helpful for other scholars to deal with other categories of fractional differential equations based on the graphical compatibility and numerical convergence.