Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation

DOI10.1016/j.camwa.2019.05.008zbMath1443.35200OpenAlexW2946024484WikidataQ127832121 ScholiaQ127832121MaRDI QIDQ2203661

Jijun Liu, Mengmeng Zhang

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.2019.05.008

zbMATH Keywords

uniquenessconjugate gradient methodTikhonov's regularizationinverse source problemdistributed orderintegral observation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (5)

Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains ⋮ A backward problem for distributed order diffusion equation: uniqueness and numerical solution ⋮ Flow and heat transfer of viscoelastic fluid with a novel space distributed-order constitution relationship ⋮ On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions ⋮ An inverse source problem for distributed order time-fractional diffusion equation

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