Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
type: Item
instance of: scholarly article
title: Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
zbMATH Open document ID: 1346.35216
author: Yikan Liu
author: William Rundell
author: M. Yamamoto
publication date: 2016-09-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.00845
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 6624384
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: strong maximum principle
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: inverse source problem
zbMATH Keywords: fractional Duhamel's principle
MaRDI profile type: Publication
OpenAlex ID: W3098690120
arXiv ID: 1507.00845
cites work: Q4073917
cites work: Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications
cites work: An inverse problem for the heat equation
cites work: Q5823354
cites work: Q5189317
cites work: Q4040640
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Time-fractional diffusion equation in the fractional Sobolev spaces
cites work: Q4256056
cites work: Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
cites work: Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
cites work: A tutorial on inverse problems for anomalous diffusion processes
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Maximum principle for the generalized time-fractional diffusion equation
cites work: Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q4233638
cites work: The determination of an unknown boundary condition in a fractional diffusion equation
cites work: Q4412345
cites work: Q4821437
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
DOI: 10.1515/FCA-2016-0048
published in: Fractional Calculus \ Applied Analysis
description: scientific article