Analytical study of time-fractional Navier-Stokes equation by using transform methods

DOI10.1186/S13662-016-0783-9zbMath1419.35230OpenAlexW2292680918WikidataQ59468054 ScholiaQ59468054MaRDI QIDQ1796716

Kangle Wang, San-Yang Liu

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0783-9

zbMATH Keywords

reduced differential transform methodElzaki transformfractional Navier-Stokes equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (11)

A mapping from Schrödinger equation to Navier-Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal conductivity ⋮ A note on time-fractional Navier-Stokes equation and multi-Laplace transform decomposition method ⋮ Stability results of a fractional model for unsteady-state fluid flow problem ⋮ Controlled Picard's transform technique for solving a type of time fractional Navier-Stokes equation resulting from incompressible fluid flow ⋮ Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments ⋮ A novel approach for multi dimensional fractional coupled Navier-Stokes equation ⋮ A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations ⋮ L 2 ( R n ) estimate of the solution to the Navier-Stokes equations with linearly growth initial data ⋮ A new approximate analytical solutions for two- and three-dimensional unsteady viscous incompressible flows by using the kinetically reduced local Navier-Stokes equations ⋮ A semianalytical approach to the solution of time-fractional Navier-Stokes equation ⋮ Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability

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