Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium (Q5085907)

scientific article; zbMATH DE number 7551034

Language	Label	Description	Also known as
English	Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium	scientific article; zbMATH DE number 7551034

Statements

instance of

scholarly article

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title

Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium (English)

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SIAM Journal on Applied Mathematics

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publication date

30 June 2022

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full work available at URL

https://arxiv.org/abs/2101.09165

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zbMATH Keywords

inverse problems

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order recovery

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diffusion equations

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fractional diffusion

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uniqueness

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unknown medium

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MaRDI profile type

MaRDI publication profile

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cites work

Q5318420

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Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation

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On approximation of functions by exponential sums

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Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Fractional Differential Equations

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An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

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Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview

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An inverse Sturm-Liouville problem with a fractional derivative

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Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source <sup>*</sup>

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The uniqueness of inverse problems for a fractional equation with a single measurement

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On time-fractional diffusion equations with space-dependent variable order

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Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations

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Determination of the fractional order in semilinear subdiffusion equations

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Time-Fractional Differential Equations

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Uniqueness in the inversion of distributed orders in ultraslow diffusion equations

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A stability result for the determination of order in time-fractional diffusion equations

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Fractional Differential Equations

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Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

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Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Q5628582

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Estimation of parameters in fractional subdiffusion equations by the time integral characteristics method

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Q5190149

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Exponential Sum Approximations for t−β

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)

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Fractional diffusion: recovering the distributed fractional derivative from overposed data

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

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Completely monotone generalized Mittag-Leffler functions

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Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

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Q5409531

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An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

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Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces

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Uniqueness of determining the variable fractional order in variable-order time-fractional diffusion equations

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Identifiers

zbMATH Open document ID

1492.35426

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DOI

10.1137/21M1398264

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5085907