Mild solution for the time fractional magneto-hydrodynamics system

DOI10.1007/s13324-024-00871-9OpenAlexW4391658007MaRDI QIDQ6119300

Hassan Khaider, A. Raji, Achraf Azanzal, Said Melliani

Publication date: 22 March 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-024-00871-9

zbMATH Keywords

Itô integralstochasticderivative of Caputotime fractional magneto-hydrodynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Stochastic integrals (60H05) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Cites Work

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• Global well-posedness for the generalized magneto-hydrodynamic equations in the critical Fourier-Herz spaces
• Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
• Global well-posedness in the super-critical dissipative quasi-geostrophic equations
• Cauchy problem for fractional diffusion equations
• Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces
• Global well-posedness, Gevrey class regularity and large time asymptotics for the dissipative quasi-geostrophic equation in Fourier-Besov spaces
• Well-posedness and blow-up of solutions for the 2D dissipative quasi-geostrophic equation in critical Fourier-Besov-Morrey spaces
• Well-posedness and stability for the generalized incompressible magneto-hydrodynamic equations in critical Fourier-Besov-Morrey spaces
• Global well-posedness and analyticity for the 3D fractional magnetohydrodynamics equations in variable Fourier-Besov spaces
• Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
• Global well-posedness of the three dimensional magnetohydrodynamics equations
• Fractional derivatives of solutions of the Navier-Stokes equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Vibrations of an infinite viscoelastic layer with a dissipative memory
• Packing measure of the sample paths of fractional Brownian motion
• Gevrey class regularity and stability for the Debye-H¨uckel system in critical Fourier-Besov-Morrey spaces

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