A note on time-fractional Navier-Stokes equation and multi-Laplace transform decomposition method

DOI10.1186/s13662-020-02981-7zbMath1486.35423OpenAlexW3088856167MaRDI QIDQ2125753

Imed Bachar, Yahya T. Abdalla, Hassan Eltayeb

Publication date: 14 April 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-020-02981-7

zbMATH Keywords

Laplace transformdecomposition methodsMittag-Leffler functionsfractional Navier-Stokes equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Laplace transform (44A10) Fractional partial differential equations (35R11)

Related Items (2)

Controlled Picard's transform technique for solving a type of time fractional Navier-Stokes equation resulting from incompressible fluid flow ⋮ A novel approach for multi dimensional fractional coupled Navier-Stokes equation

Cites Work

• On Mittag-Leffler-type functions in fractional evolution processes
• Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform
• Analytical study of time-fractional Navier-Stokes equation by using transform methods
• Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method
• Extension of triple Laplace transform for solving fractional differential equations
• Laplace Adomian decomposition method for multi dimensional time fractional model of Navier-Stokes equation
• Fractional telegraph equation and its solution by natural transform decomposition method
• On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation
• A new approach for space-time fractional partial differential equations by residual power series method
• A numerical method for solving a fractional partial differential equation through converting it into an NLP problem
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Application of double natural decomposition method for solving singular one dimensional Boussinesq equation

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