A problem with an integral boundary condition for a time fractional diffusion equation and an inverse problem

DOI10.7153/FDC-06-09zbMath1424.35359OpenAlexW2516680253WikidataQ115157822 ScholiaQ115157822MaRDI QIDQ4626374

G. P. Lopushanskaya

Publication date: 27 February 2019

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-06-09

zbMATH Keywords

inverse problemintegral equationintegral boundary conditionfractional derivativeGreen vector function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (2)

Uniqueness of solution for the inverse problem of finding two minor coefficients in a semilinear time fractional telegraph equation ⋮ Identification of a source in a fractional wave equation from a boundary measurement

Cites Work

• The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Fractional Cauchy problems on bounded domains
• The determination of an unknown boundary condition in a fractional diffusion equation
• Inverse source problem for a fractional diffusion equation
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