Analytical solutions for Navier-Stokes Equations with Caputo Fractional Derivative
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Date
2025-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
In 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).
Description
Keywords
Fractional Navier–Stokes equations, Caputo fractional derivative, Fractional power series, Mittag-Leffler function