Equivalence of definitions of solutions for some class of fractional diffusion equations (Q6185696)

scientific article; zbMATH DE number 7785050

Language	Label	Description	Also known as
English	Equivalence of definitions of solutions for some class of fractional diffusion equations	scientific article; zbMATH DE number 7785050

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instance of

scholarly article

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title

Equivalence of definitions of solutions for some class of fractional diffusion equations (English)

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author

Yavar Kian

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published in

Mathematische Nachrichten

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publication date

8 January 2024

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full work available at URL

https://arxiv.org/abs/2111.06168

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zbMATH Keywords

distributed order fractional diffusion equations

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multiterm fractional diffusion equations

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representation of solutions

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variable order fractional diffusion equations

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well-posedness

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MaRDI profile type

MaRDI publication profile

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cites work

Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer

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Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order

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Theory and simulation of time-fractional fluid diffusion in porous media

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A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures

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Cauchy problem for fractional diffusion equations

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On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative

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

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Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data

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

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Uniqueness of inverse source problems for general evolution equations

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Global uniqueness in an inverse problem for time fractional diffusion equations

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Identification of time-varying source term in time-fractional diffusion equations

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

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On existence and uniqueness of solutions for semilinear fractional wave equations

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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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INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION

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Fractional diffusion equation with distributed-order Caputo derivative

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Time-Fractional Differential Equations

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

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Uniqueness in inverse boundary value problems for fractional diffusion equations

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Initial-boundary value problem for distributed order time-fractional diffusion equations

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Initial-boundary value problems for multi-term time-fractional diffusion equations with \(x \)-dependent 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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Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem

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

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Time-fractional Diffusion of Distributed Order

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Stochastic model for ultraslow diffusion

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Q4233638

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Q4340161

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

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Fractional diffusion and wave equations

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Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations

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

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Fractional Feynman-Kac equation with space-dependent anomalous exponent

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Identifiers

zbMATH Open document ID

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10.1002/mana.202100617

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6185696