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Analysis of the Multi-Dimensional Navier–Stokes Equation by Caputo Fractional Operator

Kholoud Saad Albalawi, Manvendra Narayan Mishra, Pranay Goswami

2022Fractal and Fractional15 citationsDOIOpen Access PDF

Abstract

In this article, we investigate the solution of the fractional multidimensional Navier–Stokes equation based on the Caputo fractional derivative operator. The behavior of the solution regarding the Navier–Stokes equation system using the Sumudu transform approach is discussed analytically and further discussed graphically.

Topics & Concepts

Operator (biology)Fractional calculusMathematicsNavier–Stokes equationsMathematical analysisApplied mathematicsPhysicsCompressibilityMechanicsBiochemistryTranscription factorGeneChemistryRepressorFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNumerical methods in engineering
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