On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
type: Item
instance of: scholarly article
title: On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
zbMATH Open document ID: 1467.82078
author: Yanyan Li
published in: Analysis and Mathematical Physics
publication date: 2021-06-30T00:00:00Z
Mathematics Subject Classification ID: 82C41
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7365505
zbMATH Keywords: fractional derivative
zbMATH Keywords: inverse problem
zbMATH Keywords: bi-orthogonal system
zbMATH Keywords: Fourier's method
MaRDI profile type: Publication
full work available at URL: s13324-021-00537-w
OpenAlex ID: W3162913358
cites work: From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
cites work: Fractal and generalized Fokker–Planck equations: description of the characterization of anomalous diffusion in magnetic resonance imaging
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
cites work: A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
cites work: Q5190149
cites work: The role of fractional calculus in modeling biological phenomena: a review
cites work: Applications of fractional calculus in physics
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: Modeling extreme-event precursors with the fractional diffusion equation
cites work: An inverse problem for a family of time fractional diffusion equations
cites work: An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions
cites work: Identification and regularization for unknown source for a time-fractional diffusion equation
cites work: On a final value problem for the time-fractional diffusion equation with inhomogeneous source
cites work: A backward problem for the time‐fractional diffusion equation
cites work: Q5502290
cites work: Recognition of a time-dependent source in a time-fractional wave equation
cites work: The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation
cites work: Monotonicity of input-output mapping related to inverse elastoplastic torsional problem
cites work: Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
cites work: Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates
cites work: Numerical inversions for diffusion coefficients in two-dimensional space fractional diffusion equation
cites work: Q2954115
cites work: An inverse source problem for a one-dimensional space–time fractional diffusion equation
cites work: Analysis of direct and inverse problems for a fractional elastoplasticity model
cites work: Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations
cites work: Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
cites work: Q5409531
cites work: Inverse source problem for a space-time fractional diffusion equation
cites work: Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem
cites work: Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
cites work: Hilfer-Prabhakar derivatives and some applications
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q5699297
cites work: Boundary-value problems for differential equations of fractional order
cites work: Q3141895
DOI: 10.1007/S13324-021-00537-W
description: scientific article; zbMATH DE number 7365505