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Analysis of fractional Navier–Stokes equations

Hossein Jafari, Muslim Yusif Zair, Hassan Kamil Jassim

2023Heat Transfer30 citationsDOI

Abstract

Abstract In this study, we apply the fractional Laplace variational iteration method (FLVIM), a computer methodology for exploring fractional Navier–Stokes equation solutions. In light of the theory of fixed points and Banach spaces, this paper also explores the uniqueness and convergence of the solution of general fractional differential equations obtained by the suggested method. In addition, the fractional Laplace variational iteration method solution's error analysis is covered. The computational technique also clearly demonstrates the validity and dependability of the suggested method for solving fractional Navier‐Stokes equations. Furthermore, the obtained solutions are a perfect fit with previously established solutions.

Topics & Concepts

MathematicsUniquenessLaplace transformConvergence (economics)Fractional calculusMathematical analysisLaplace's equationApplied mathematicsBanach spaceNavier–Stokes equationsDifferential equationPhysicsCompressibilityThermodynamicsEconomicsEconomic growthFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Differential Equations Analysis
Analysis of fractional Navier–Stokes equations | Litcius