On the uniqueness of solutions of two inverse problems for the subdiffusion equation (Q6041416)

scientific article; zbMATH DE number 7689801

Language	Label	Description	Also known as
English	On the uniqueness of solutions of two inverse problems for the subdiffusion equation	scientific article; zbMATH DE number 7689801

Statements

instance of

scholarly article

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title

On the uniqueness of solutions of two inverse problems for the subdiffusion equation (English)

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published in

Fractional Differential Calculus

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publication date

30 May 2023

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full work available at URL

https://arxiv.org/abs/2205.03405

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zbMATH Keywords

non-local problems

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the Caputo derivatives

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subdiffusion equation

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inverse problems

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MaRDI profile type

MaRDI publication profile

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cites work

Fractional Differential Equations

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A backward problem for the time-fractional diffusion equation

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Well-posedness for the backward problems in time for general time-fractional diffusion equation

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On the backward problems in time for time-fractional subdiffusion equations

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Introduction to fractional and pseudo-differential equations with singular symbols

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Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions

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On a time fractional diffusion with nonlocal in time conditions

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Coercive solvability of the nonlocal boundary value problem for parabolic differential equations

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Q5481193

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Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations

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Q4256419

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An inverse problem for a generalized fractional diffusion

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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

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Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation

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Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time

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Q5369639

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Some inverse problems for the nonlocal heat equation with Caputo fractional derivative

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Inverse problem of determining the heat source density for the subdiffusion equation

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Initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary elliptic differential operator

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An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

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DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS

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Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time

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Time-dependent source identification problem for fractional Schrödinger type equations

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

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Inverse problem for finding the order of the fractional derivative in the wave equation

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Mittag-Leffler Functions, Related Topics and Applications

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Identifiers

zbMATH Open document ID

1524.35673

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arXiv ID

2205.03405

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Mathematics Subject Classification ID

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10.7153/FDC-2022-12-05

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Sitelinks

Mathematics(1 entry)

mardi Publication:6041416