Regularization of a backward problem for 2-D time-fractional diffusion equations with discrete random noise

DOI10.1080/00036811.2019.1603369zbMath1458.35467OpenAlexW2943253622MaRDI QIDQ5148318

Nguyen Huy Tuan, Le Nhat Huynh, Yong Zhou

Publication date: 3 February 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1603369

zbMATH Keywords

regularizationerror estimaterandom noisetime-fractional diffusion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fixed-point theorems (47H10) Ill-posed problems for PDEs (35R25) Nonlinear ill-posed problems (47J06) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Inverse source problem for time-fractional diffusion with discrete random noise
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Solving a final value fractional diffusion problem by boundary condition regularization
• The quasi-boundary value regularization method for identifying the initial value with discrete random noise
• Well-posed stochastic extensions of ill-posed linear problems
• Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise
• A modified quasi-boundary value method for the backward time-fractional diffusion problem
• Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
• Nonparametric statistical inverse problems
• Bayesian analysis in inverse problems
• On a final value problem for the time-fractional diffusion equation with inhomogeneous source
• Statistical Inverse Estimation in Hilbert Scales
• Regularization by projection for a backward problem of the time-fractional diffusion equation

This page was built for publication: Regularization of a backward problem for 2-D time-fractional diffusion equations with discrete random noise