In this paper, we solve some time fractional Navier-Stokes equations of order  with  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.

Some Blaise Abbo (SBA) plus method, fractional Navier-Stokes equations, Caputo derivative.

Received: April 12, 2024; Revised: June 6, 2024; Accepted: June 13, 2024; Published: August 12, 2024

How to cite this article: Oumar MADAI, Germain KABORE, DJERAYOM Luc, Bakari Abbo and Ousséni SO, The Some Blaise Abbo (SBA) plus method applied to non-linear fractional time Navier-Stokes equations in dimension 3 in the sense of Caputo, Far East Journal of Applied Mathematics 117(2) (2024), 133-148. http://dx.doi.org/10.17654/0972096024007

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