THE REVISED GENERALIZED TIKHONOV METHOD FOR THE BACKWARD TIME-FRACTIONAL DIFFUSION EQUATION

DOI10.11948/2019.45zbMath1461.35219OpenAlexW2923016863MaRDI QIDQ5859349

P. Prakash, A. Deiveegan, Juan. J. Nieto

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2019.45

zbMATH Keywords

convergence analysisinverse problemTikhonov regularizationfractional diffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

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Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method ⋮ Continuity with respect to fractional order of the time fractional diffusion-wave equation ⋮ A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ Identification of the right-hand side in a bi-parabolic equation with final data ⋮ Existence and regularity results for terminal value problem for nonlinear fractional wave equations ⋮ Existence and uniqueness results for a multi-parameters nonlocal diffusion equation

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