The aim of this article is to introduce a new analytical and approximate technique to
obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique
is the coupling of Adomian decomposition method (ADM) and Laplace transform method
(LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as
one of the dependent variable, the velocity field is a function of only one space coordinate. A good
agreement between the obtained solutions and some well-known results has been demonstrated. It is
shown that the proposed method robust, efficient, and easy to implement for linear and nonlinear
problems arising in science and engineering.
