Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation
type: Item
instance of: scholarly article
title: Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation
zbMATH Open document ID: 1498.35600
author: Xiong-bin Yan
author: Ting Wei
author: Zheng-Qiang Zhang
published in: Chaos, Solitons and Fractals
publication date: 2022-11-18T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7620194
zbMATH Keywords: nonlinear inverse problem
zbMATH Keywords: stability and uniqueness
zbMATH Keywords: ill-posedness
zbMATH Keywords: non-stationary iterative Tikhonov regularization method
MaRDI profile type: Publication
full work available at URL: j.chaos.2022.111901
OpenAlex ID: W4213448413
cites work: FRACTIONAL DIFFUSIVE WAVES
cites work: Q5190149
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: On existence and uniqueness of solutions for semilinear fractional wave equations
cites work: Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
cites work: Maximum principle for the generalized time-fractional diffusion equation
cites work: Maximum principle and its application for the time-fractional diffusion equations
cites work: Q5699297
cites work: Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation
cites work: A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems
cites work: A finite difference scheme for semilinear space-fractional diffusion equations with time delay
cites work: Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation
cites work: Numerical Analysis of Nonlinear Subdiffusion Equations
cites work: The backward problem for a time-fractional diffusion-wave equation in a bounded domain
cites work: An inverse source problem in a semilinear time-fractional diffusion equation
cites work: Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation
cites work: An inverse source problem for a one-dimensional space–time fractional diffusion equation
cites work: Identifying an unknown source in time-fractional diffusion equation by a truncation method
cites work: Q5352163
cites work: Existence and uniqueness of an inverse source problem for a fractional integrodifferential equation
cites work: Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
cites work: Identification of the zeroth-order coefficient in a time fractional diffusion equation
cites work: Determination of time dependent factors of coefficients in fractional diffusion equations
cites work: Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation
cites work: On the well-posedness of determination of two coefficients in a fractional integrodifferential equation
cites work: Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
cites work: Q4233638
cites work: The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations
cites work: Geometric theory of semilinear parabolic equations
cites work: Q3310453
cites work: Identification of time-dependent convection coefficient in a time-fractional diffusion equation
cites work: Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation
cites work: Nonstationary iterated Tikhonov regularization for ill-posed problems in Banach spaces
cites work: Nonstationary iterated Tikhonov regularization
cites work: Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
cites work: Q4895893
cites work: An inverse problem for a nonlinear diffusion equation with time-fractional derivative
cites work: A wavelet approach for the multi-term time fractional diffusion-wave equation
cites work: Highly accurate solutions for space-time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions
cites work: Piecewise Chebyshev cardinal functions: application for constrained fractional optimal control problems
cites work: A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation
cites work: An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model
DOI: 10.1016/J.CHAOS.2022.111901
description: scientific article; zbMATH DE number 7620194