A BACKWARD IDENTIFICATION PROBLEM FOR AN AXIS-SYMMETRIC FRACTIONAL DIFFUSION EQUATION

DOI10.3846/13926292.2017.1309329zbMath1488.65387OpenAlexW2615154486MaRDI QIDQ5015456

Xiao-Jun Ma, Xiang-Tuan Xiong

Publication date: 8 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2017.1309329

zbMATH Keywords

regularizationill-posednessclosed form solutionfractional diffusion equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

Related Items (8)

A modified quasi-boundary value method for a backward problem for the inhomogeneous time conformable fractional heat equation in a cylinder ⋮ Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation ⋮ A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation ⋮ The backward problem for radially symmetric time‐fractional diffusion‐wave equation under Robin boundary condition ⋮ An asymmetric backward problem for the inhomogeneous parabolic equation with time-dependent diffusivity

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