Most complex physical phenomena are described by non-linear Burgers’ equations, which help us understand them better. This article uses the transformation and fractional Taylor’s formula to find approximate solutions for fractional-order partial differential equations. Solving equations with right starting data shows that method utilized is correct can be utilized. Based on limit of idea, a rap...

We use the q-homotopy analysis Shehu transform method in this article to obtain analytical and numerical solutions time fractional partial differential equations. also give two problems, as well a comparison study terms of absolute error with homotopy perturbation method, residual power series verify suggested technique’s effectiveness correctness. The graphical achieved by proposed show that i...

Abstract In this note, we broaden the utilization of an efficient computational scheme called approximate analytical method to obtain solutions fractional-order Navier–Stokes model. The solution is obtained within Liouville–Caputo operator. strategy generates series form solution, with less work and fast convergence rate exact solutions. results have shown a simple useful procedure analyze comp...