On the fractional diffusion-advection-reaction equation in \(\mathbb{R}\)
type: Item
instance of: scholarly article
title: On the fractional diffusion-advection-reaction equation in \(\mathbb{R}\)
zbMATH Open document ID: 1442.34012
author: Victor Ginting
author: Yu-Long Li
publication date: 2020-04-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1805.09398
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 7195231
zbMATH Keywords: Riemann-Liouville fractional operators
zbMATH Keywords: diffusion
zbMATH Keywords: advection
zbMATH Keywords: reaction
zbMATH Keywords: weak fractional derivative
zbMATH Keywords: strong solution
zbMATH Keywords: regularity
zbMATH Keywords: infinite domain
zbMATH Keywords: Sobolev space
MaRDI profile type: Publication
OpenAlex ID: W2981932309
arXiv ID: 1805.09398
cites work: Q5318420
cites work: Boundary conditions for fractional diffusion
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Fractional diffusion on bounded domains
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Q5189317
cites work: Q4230520
cites work: Fractional derivative models for atmospheric dispersion of pollutants
cites work: Models of space-fractional diffusion: a critical review
cites work: Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain
cites work: Variational formulation of problems involving fractional order differential operators
cites work: Q5699297
cites work: Fractals and fractional calculus in continuum mechanics
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q4340161
cites work: Q4340096
cites work: Q3141895
cites work: Q2741107
cites work: The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
cites work: An introduction to Sobolev spaces and interpolation spaces
cites work: Wellposedness of variable-coefficient conservative fractional elliptic differential equations
cites work: Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
cites work: Accuracy of finite element methods for boundary-value problems of steady-state fractional diffusion equations
cites work: Basic theory of fractional differential equations
DOI: 10.1515/FCA-2019-0055
published in: Fractional Calculus \ Applied Analysis
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description: scientific article