[PDF][PDF] FRACTIONAL NAVIER-STOKES EQUATIONS.

JW Cholewa, T Dlotko - Discrete & Continuous Dynamical …, 2018 - drive.google.com
We consider fractional Navier-Stokes equations in a smooth bounded domain Ω⊂ RN, N≥
2. Following the geometric theory of abstract parabolic problems we give the detailed …

Analysis of fractional NavierStokes equations

H Jafari, MY Zair, HK Jassim - Heat Transfer, 2023 - Wiley Online Library
fractional Laplace variational iteration method (FLVIM), a computer methodology for exploring
fractional NavierStokes equation … of general fractional differential equations obtained by …

[HTML][HTML] On the time-fractional NavierStokes equations

Y Zhou, L Peng - Computers & Mathematics with Applications, 2017 - Elsevier
… -fractional NavierStokes equations. Motivated by above discussion, in this paper we study
the following time-fractional NavierStokes equations … t α is the Caputo fractional derivative of …

[HTML][HTML] Mild solutions to the time fractional NavierStokes equations in RN

PM de Carvalho-Neto, G Planas - Journal of Differential Equations, 2015 - Elsevier
… of mild solutions to the NavierStokes equations with time fractional differential operator of
… in Lebesgue spaces, which will depend on the fractional exponent α. Moreover, it is shown …

[HTML][HTML] Analytical solution of the time fractional Navier-Stokes equation

KK Jaber, RS Ahmad - Ain Shams Engineering Journal, 2018 - Elsevier
… for solving an unsteady fractional Navier-Stokes equation in one … is to solve the time fractional
Navier-Stokes equation in two … theorems regarding fractional calculus and fractional power …

[HTML][HTML] Weak solutions of the time-fractional NavierStokes equations and optimal control

Y Zhou, L Peng - Computers & Mathematics with Applications, 2017 - Elsevier
fractional NavierStokes equations. To the best of our knowledge, the weak solution of this
type of equations … of the following time-fractional NavierStokes equations in an open set Ω ⊂ …

[HTML][HTML] Analytical solution of fractional NavierStokes equation by using modified Laplace decomposition method

S Kumar, D Kumar, S Abbasbandy… - Ain Shams Engineering …, 2014 - Elsevier
… The main aim of this article is to provide the series solution of the time-fractional NavierStokes
equation by using the fractional modified Laplace decomposition method (FMLDM). The …

[HTML][HTML] Spectral methods for the time-fractional NavierStokes equation

R Zheng, X Jiang - Applied Mathematics Letters, 2019 - Elsevier
… to solve the time-fractional NavierStokes equation with periodic … used to discrete the Caputo
time fractional derivative. Analysis of … for solving the time-fractional NavierStokes equation. …

Analytical solution of a time-fractional NavierStokes equation by Adomian decomposition method

S Momani, Z Odibat - Applied Mathematics and Computation, 2006 - Elsevier
… -dimensional time-fractional NavierStokes equation, where the unknown function u(r, t) is
a assumed to be a causal function of time, ie, vanishing for t < 0. The fractional derivative is …

[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

A Burqan, A El-Ajou, R Saadeh, M Al-Smadi - Alexandria Engineering …, 2022 - Elsevier
… to the time-fractional Navier - Stokes equations is using a … method used for solving fractional
physical equations. Speed and … examined two Navier-Stokes equations that representing the …