THE SOME BLAISE ABBO (SBA) PLUS METHOD APPLIED TO NON-LINEAR FRACTIONAL TIME NAVIER-STOKES EQUATIONS IN DIMENSION 3 IN THE SENSE OF CAPUTO
Keywords:
Some Blaise Abbo (SBA) plus method, fractional Navier-Stokes equations, Caputo derivativeDOI:
https://doi.org/10.17654/0972096024007Abstract
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, 2024
Revised: June 6, 2024
Accepted: June 13, 2024
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