Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation (Q5859756)

scientific article; zbMATH DE number 7335398

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English	Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation	scientific article; zbMATH DE number 7335398

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instance of

scholarly article

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title

Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation (English)

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20 April 2021

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zbMATH Keywords

time-fractional diffusion equation

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inversion of potential

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inversion of fractional orders

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multinomial Mittag-Leffler function

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Levenberg-Marquardt method

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uniqueness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6420/abf162

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cites work

Functional analysis, Sobolev spaces and partial differential equations

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Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation

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Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order

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Regularization methods for large-scale problems

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An inverse space-dependent source problem for a multi-term time fractional diffusion equation

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Q5699297

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Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients

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Q4057193

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Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation

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Identification of the time-dependent source term in a multi-term time-fractional diffusion equation

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Initial-boundary value problems for multi-term time-fractional diffusion equations with \(x \)-dependent coefficients

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Uniqueness in inverse boundary value problems for fractional diffusion equations

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

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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 continuation property for multi-terms time fractional diffusion equations

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Maximum principle for the generalized time-fractional diffusion equation

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Q4233638

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

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Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

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Inverse source problem for a multiterm time-fractional diffusion equation with nonhomogeneous boundary condition

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Identification of the zeroth-order coefficient in a time fractional diffusion equation

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Identification of time-dependent convection coefficient in a time-fractional diffusion equation

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

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Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate

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Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation

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An undetermined coefficient problem for a fractional diffusion equation

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A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions

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Identifiers

zbMATH Open document ID

1462.35469

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DOI

10.1088/1361-6420/abf162

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5859756