Identification of the zeroth-order coefficient in a time fractional diffusion equation
type: Item
instance of: scholarly article
title: Identification of the zeroth-order coefficient in a time fractional diffusion equation
zbMATH Open document ID: 1353.65102
author: Ting Wei
author: Liangliang Sun
published in: Applied Numerical Mathematics
publication date: 2016-11-07T00:00:00Z
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35A22
zbMATH DE Number: 6648168
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: inverse zero-order coefficient
zbMATH Keywords: uniqueness
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: inverse problem
zbMATH Keywords: Laplace transformation
zbMATH Keywords: Gel'fand-Levitan theory
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.apnum.2016.09.005
OpenAlex ID: W2520712555
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
cites work: Q5820676
cites work: Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
cites work: On the determination of a differential equation from its spectral function
cites work: Some recent advances in theory and simulation of fractional diffusion processes
cites work: Time-fractional diffusion equation in the fractional Sobolev spaces
cites work: Regularization methods for large-scale problems
cites work: A tutorial on inverse problems for anomalous diffusion processes
cites work: An inverse problem for a one-dimensional time-fractional diffusion problem
cites work: Q5699297
cites work: Q3997293
cites work: Q4057193
cites work: Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Q5634306
cites work: Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
cites work: Coefficient inverse problem for a fractional diffusion equation
cites work: Q3341778
cites work: Q3944981
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q4233638
cites work: The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
cites work: Continuous-time random walks and the fractional diffusion equation
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: Well posedness and convergence of some regularisation methods for non-linear ill posed problems
cites work: From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
cites work: Inverse problem for fractional diffusion equation
cites work: An inverse time-dependent source problem for a time-fractional diffusion equation
cites work: Determination of Robin coefficient in a fractional diffusion problem
cites work: Robin coefficient identification for a time-fractional diffusion equation
cites work: Carleman estimate for a fractional diffusion equation with half order and application
cites work: Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate
cites work: Inverse source problem for a fractional diffusion equation
cites work: An undetermined coefficient problem for a fractional diffusion equation
DOI: 10.1016/J.APNUM.2016.09.005
description: scientific article; zbMATH DE number 6648168