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Chapter 8: Fractional Partial Differential Equations
https://doi.org/10.1142/9789811271694_0008Cited by:0 (Source: Crossref)
Abstract:
The following sections are included:
Introduction
Fractional Navier-Stokes Equations
Introduction
Preliminaries
Global Existence
Local Existence
Regularity
Fractional Rayleigh-Stokes Equations
Introduction
Preliminaries
Globally Lispchitz Source Term
Locally Lispchitz Source Term
Fractional Euler-Lagrange Equations
Introduction
Functional Spaces
Variational Structure
Existence of Weak Solution
Fractional Diffusion Equations
Introduction
Regularity and Unique Existence
Fractional Wave Equations
Introduction
Preliminaries
Approximation Solution
Energy Estimates
Well-Posedness and Regularity
Notes and Remarks
