A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation

DOI10.1002/mma.7442zbMath1473.35650OpenAlexW3161057930MaRDI QIDQ4959223

D. K. Durdiev, A. A. Rahmonov, Z. R. Bozorov

Publication date: 10 September 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7442

zbMATH Keywords

integral equationdiffusion equationstability estimateGerasimov-Caputo fractional derivative

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order parabolic equations (35K15)

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Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain ⋮ Inverse coefficient problem for a time-fractional diffusion equation in the bounded domain ⋮ Inverse coefficient problem for a fractional-diffusion equation with a Bessel operator ⋮ Inverse problem of determining the kernel of integro-differential fractional diffusion equation in bounded domain ⋮ Inverse coefficient problems for a time-fractional wave equation with the generalized Riemann-Liouville time derivative ⋮ Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator ⋮ Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions ⋮ An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation ⋮ Inverse problem of Bitsadze-Samarskii type for a two-dimensional parabolic equation of fractional order ⋮ Convolution kernel determination problem for the time-fractional diffusion equation

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