Uniqueness and existence for inverse problem of determining an order of time-fractional derivative of subdiffusion equation

DOI10.1134/S1995080221030069zbMath1465.35403OpenAlexW3160501576MaRDI QIDQ2026666

Ravshan Ashurov, Yu. E. Fayziev

Publication date: 20 May 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221030069

zbMATH Keywords

Fourier methodRiemann-Liouville derivativesdetermination of the fractional derivative's ordernonhomogeneous subdiffusion equation

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 (9)

Problem of determining the time dependent coefficient in the fractional diffusion-wave equation ⋮ On a control problem for the subdiffusion equation with a fractional derivative in the sense of Caputo ⋮ DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS ⋮ On the uniqueness of solutions of two inverse problems for the subdiffusion equation ⋮ Forward and inverse problems for the Barenblatt-Zheltov-Kochina type fractional equations ⋮ Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann-Liouville derivative ⋮ A nonlocal problem for a mixed equation of high even order with a fractional Caputo derivative ⋮ Inverse problem for finding the order of the fractional derivative in the wave equation ⋮ Uniqueness in determining fractional orders of derivatives and initial values

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