A strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations (Q6597946)

scientific article; zbMATH DE number 7906358

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English	A strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations	scientific article; zbMATH DE number 7906358

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instance of

scholarly article

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title

A strong positivity property and a related inverse source problem for multi-term time-fractional diffusion equations (English)

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Acta Mathematica Scientia. Series B. (English Edition)

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publication date

4 September 2024

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zbMATH Keywords

fractional diffusion equation

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inverse source problem

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nonlocal observation observation

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uniqueness

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Tikhonov regularization

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Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives

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Q5409544

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Completely monotone functions and some classes of fractional evolution equations

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Subordination approach to multi-term time-fractional diffusion-wave equations

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Uniqueness and stability for inverse source problem for fractional diffusion-wave equations

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Q5189317

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Determination of time dependent factors of coefficients in fractional diffusion equations

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Time-fractional diffusion equation in the fractional Sobolev spaces

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Carleman estimates for the time-fractional advection-diffusion equations and applications

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Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem

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Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations

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

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A tutorial on inverse problems for anomalous diffusion processes

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Q5699297

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Time-Fractional Differential Equations

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

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

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Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations

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Unique continuation principle for the one-dimensional time-fractional 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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Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem

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Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

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Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation

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Maximum principle for the generalized time-fractional diffusion equation

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Completely monotonic functions

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Coefficient inverse problem for a fractional diffusion equation

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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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Identification of a time-dependent source term for a time fractional diffusion problem

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

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Inverse source problem with a final overdetermination for a fractional diffusion equation

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Q3141895

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Q4935978

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The zeros of certain integral functions.

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On the well-posedness of determination of two coefficients in a fractional integrodifferential equation

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Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation

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

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Inverse source problem for a fractional diffusion equation

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The extended Jordan's lemma and the relation between Laplace transform and Fourier transform

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10473-024-0523-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6597946