On a time-space fractional backward diffusion problem with inexact orders

DOI10.1016/j.camwa.2019.03.014zbMath1442.35527OpenAlexW2924039894MaRDI QIDQ2203217

Nguyen Minh Dien, Dinh Nguyen Duy Hai, Dang Duc Trong

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.014

zbMATH Keywords

well-posednessdiscrepancy principleill-posednessconvergence estimatestime-space fractional backward diffusion problemmodified iterated Lavrentiev regularization

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fractional partial differential equations (35R11)

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A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ Memory-dependent derivative versus fractional derivative. II: Remodelling diffusion process ⋮ On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions ⋮ The generalized nonlocal boundary condition for fractional Langevin equation with a weakly singular source ⋮ Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ Backward problem for time-space fractional diffusion equations in Hilbert scales ⋮ The backward problem for nonlinear fractional diffusion equation with time-dependent order ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition

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