Analytical solutions for Navier-Stokes Equations with Caputo Fractional Derivative

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dc.contributor.authorMariam, NOUIOUA
dc.contributor.authorSupervisor: Hamza, MIHOUBI
dc.date.accessioned2025-07-15T10:11:15Z
dc.date.available2025-07-15T10:11:15Z
dc.date.issued2025-06-10
dc.description.abstractIn this work, we will use the residual power series (RPS) method to generate the solution of the nonlinear time fractional Navier-Stokes equation with Caputo fractional derivative in two dimensions in the form of a rapidly convergent series,where we adopted the definition of generalized Fractional calculus operators, including those of Riemann-Liouville.Hadamard,Katugampula of the Caputo type. We gave an illustrative application to demonstrate the effectiveness and leverage of the proposed method, where numerical results and graphical representations reveal that the proposed method performs extremely well in terms of efficiency and simplicity and it can be utilized to solve more problems in the field of non-linear fractional differential equations (FDEs).
dc.identifier.urihttps://repository.univ-msila.dz/handle/123456789/47210
dc.language.isoen
dc.publisherMohamed Boudiaf University of M'sila
dc.subjectFractional Navier–Stokes equations
dc.subjectCaputo fractional derivative
dc.subjectFractional power series
dc.subjectMittag-Leffler function
dc.titleAnalytical solutions for Navier-Stokes Equations with Caputo Fractional Derivative
dc.typeThesis

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