Analysis of fractional Navier-Stokes equations

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.

Automated summary

In this study, the fractional Laplace variational iteration method (FLVIM) is applied to explore solutions of the fractional Navier-Stokes equation. Using the theory of fixed points and Banach spaces, the uniqueness and convergence of the general fractional differential equation solutions obtained by the proposed method are investigated. Error analysis of the fractional Laplace variational iteration method solution is also conducted, demonstrating the validity and reliability of this method for solving fractional Navier-Stokes equations, with obtained solutions matching previously established ones.