On the fractional diffusion-advection-reaction equation in \(\mathbb{R}\)

DOI10.1515/fca-2019-0055zbMath1442.34012arXiv1805.09398OpenAlexW2981932309MaRDI QIDQ2175768

Victor Ginting, Yu-Long Li

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

zbMATH Keywords

diffusionregularitySobolev spaceadvectionstrong solutionreactionRiemann-Liouville fractional operatorsinfinite domainweak fractional derivative

Mathematics Subject Classification ID

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

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