Backward problem for a time-space fractional diffusion equation

DOI10.3934/ipi.2018033zbMath1397.65107OpenAlexW2794490991MaRDI QIDQ1673850

Junxiong Jia, YuJiao Li, Ji-Gen Peng, Jing-Huai Gao

Publication date: 14 September 2018

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2018033

zbMATH Keywords

backward time-space fractional diffusionBregmann iterative methodfractional operator semigroupvariable TV regularization

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical solution of inverse problems involving ordinary differential equations (65L09) Fractional partial differential equations (35R11)

Related Items (15)

On a backward problem for nonlinear time fractional wave equations ⋮ A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ On a non-local Sobolev-Galpern-type equation associated with random noise ⋮ The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ On a backward problem for inhomogeneous time-fractional diffusion equations ⋮ On a time-space fractional backward diffusion problem with inexact orders ⋮ Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data ⋮ Quasi solution of a backward space fractional diffusion equation ⋮ Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations ⋮ On existence and regularity of a terminal value problem for the time fractional diffusion equation ⋮ Remarks on the initial and terminal value problem for time and space fractional diffusion equation ⋮ Existence and regularity results for terminal value problem for nonlinear fractional wave equations

Uses Software

• Matlab

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