THE SOME BLAISE ABBO (SBA) PLUS METHOD APPLIED TO NON-LINEAR FRACTIONAL TIME NAVIER-STOKES EQUATIONS IN DIMENSION 3 IN THE SENSE OF CAPUTO

In this paper, we solve some time fractional Navier-Stokes equations of order $\alpha$ with $0<\alpha \leq 1$ in dimension 3 in the sense of Caputo by the SBA plus method. This method is based on two principles (successive approximations, Picard) and the Adomian method, and converges rapidly to the exact solution, of course, if it exists in the functional space of the problem posed. Received: April 12, 2024Revised: June 6, 2024Accepted: June 13, 2024