HADJI, ABEDELAZIZMihoubi, Hamza: Supervisor2024-07-042024-07-042024-06-11https://repository.univ-msila.dz/handle/123456789/43265In this work, approximate solution of time-fractional order multi-dimensional Navier-Stokes equation is obtained by adopting a semi-analytical scheme: "Homotopy perturbation Laplace transform Method (HPLTM)". Tow test problems are carried out in order to validate and illustrate the efficiency of the method. The scheme is found to be very reliable, effective and efficient powerful technique to solve wide range of problems arising in engineering and sciences. The small size of computation contrary to the other schemes.enNavier--Stokes equationCaputo time-fractional derivativeHPLTMMittag--Leffler functionThesis