On the fractional diffusion-advection-reaction equation in \(\mathbb{R}\)
From MaRDI portal
Publication:2175768
DOI10.1515/fca-2019-0055zbMath1442.34012arXiv1805.09398OpenAlexW2981932309MaRDI QIDQ2175768
Publication date: 30 April 2020
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.09398
diffusionregularitySobolev spaceadvectionstrong solutionreactionRiemann-Liouville fractional operatorsinfinite domainweak fractional derivative
Applications of functional analysis to differential and integral equations (46N20) Fractional ordinary differential equations (34A08)
Related Items (12)
Integral representation bound of the true solution to the BVP of double-sided fractional diffusion advection reaction equation ⋮ Analysis of one-sided 1-D fractional diffusion operator ⋮ Raising the regularity of generalized Abel equations in fractional Sobolev spaces with homogeneous boundary conditions ⋮ Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\) ⋮ On the Dirichlet BVP of fractional diffusion advection reaction equation in bounded interval: structure of solution, integral equation and approximation ⋮ Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations ⋮ On the regularity and simplicity of a class of fractional elliptic operators ⋮ A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis ⋮ Solving anisotropic subdiffusion problems in annuli and shells ⋮ Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval ⋮ On the decomposition of solutions: from fractional diffusion to fractional Laplacian ⋮ Probability-conservative simulation for \textit{Lévy} financial model by a mixed finite element method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Accuracy of finite element methods for boundary-value problems of steady-state fractional diffusion equations
- An introduction to Sobolev spaces and interpolation spaces
- Functional analysis, Sobolev spaces and partial differential equations
- Fractals and fractional calculus in continuum mechanics
- Boundary conditions for fractional diffusion
- Fractional diffusion on bounded domains
- Fractional derivative models for atmospheric dispersion of pollutants
- The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
- Models of space-fractional diffusion: a critical review
- Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain
- Basic Theory of Fractional Differential Equations
- Wellposedness of Variable-Coefficient Conservative Fractional Elliptic Differential Equations
- Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
- Variational formulation for the stationary fractional advection dispersion equation
- Variational formulation of problems involving fractional order differential operators
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: On the fractional diffusion-advection-reaction equation in \(\mathbb{R}\)