Anomalous Diffusion with Caputo-Fabrizio Time Derivative: an Inverse Problem. (Q6088069)

scientific article; zbMATH DE number 7777283

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English	Anomalous Diffusion with Caputo-Fabrizio Time Derivative: an Inverse Problem.	scientific article; zbMATH DE number 7777283

Statements

instance of

scholarly article

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title

Anomalous Diffusion with Caputo-Fabrizio Time Derivative: an Inverse Problem. (English)

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author

S. A. Seminara

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María Inés Troparevsky

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M. A. Fabio

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Guillermo la Mura

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published in

Trends in Computational and Applied Mathematics

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publication date

13 December 2023

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zbMATH Keywords

inverse problems

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fractional calculus

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anomalous diffusion

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.5540/tcam.2022.023.03.00515

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cites work

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Dynamics of a fractional order HIV infection model with specific functional response and cure rate

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On the notion of fractional derivative and applications to the hysteresis phenomena

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APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗

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Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach

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An inverse source problem with single Dirichlet type measured output data for a linear parabolic equation

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Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method

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A tutorial on inverse problems for anomalous diffusion processes

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Determination of a spacewise dependent heat source

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

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Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data

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FRACTIONAL DIFFUSIVE WAVES

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On an inverse problem of reconstructing a subdiffusion process from nonlocal data

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Well-posedness of the inverse source problem for parabolic systems

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Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations

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A review of definitions of fractional derivatives and other operators

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An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization

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Conditional stability in determination of force terms of heat equations in a rectangle

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Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms

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New iterative approach for the solutions of fractional order inhomogeneous partial differential equations

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Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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Identifiers

zbMATH Open document ID

1525.35258

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Mathematics Subject Classification ID

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10.5540/TCAM.2022.023.03.00515

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Sitelinks

Mathematics(1 entry)

mardi Publication:6088069