Determination of the initial data in a time-fractional diffusion-wave problem by a final time data

DOI10.1016/j.camwa.2019.03.056zbMath1443.35179OpenAlexW2934193327WikidataQ128093654 ScholiaQ128093654MaRDI QIDQ2203505

Ting Wei, Jun Xian

Publication date: 7 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.2019.03.056

zbMATH Keywords

conjugate gradient methodvariational methodTikhonov regularizationinverse initial value problemfractional diffusion wave equation

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (14)

Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ A Tikhonov regularization method for solving a backward time-space fractional diffusion problem ⋮ A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation ⋮ Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data ⋮ Uniqueness and stability for inverse source problem for fractional diffusion-wave equations ⋮ Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation ⋮ Identification of the zeroth‐order coefficient and fractional order in a time‐fractional reaction‐diffusion‐wave equation ⋮ Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation ⋮ The backward problem for radially symmetric time‐fractional diffusion‐wave equation under Robin boundary condition ⋮ The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder ⋮ Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement ⋮ Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method ⋮ Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition ⋮ On existence and regularity of a terminal value problem for the time fractional diffusion equation

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