A physical description offractional-order Fourier diffusion

Gianluca Alaimo; Massimiliano Zingales; Gianluca Alaimo; Massimiliano Zingales

A physical description offractional-order Fourier diffusion

Gianluca Alaimo, Massimiliano Zingales, Gianluca Alaimo, Massimiliano Zingales

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Risultato della ricerca: Conference contribution

1 Citazioni (Scopus)

Abstract

In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.

Lingua originale	English
Titolo della pubblicazione ospite	2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA)
Numero di pagine	6
Stato di pubblicazione	Published - 2014

All Science Journal Classification (ASJC) codes

Applied Mathematics
Modelling and Simulation
Numerical Analysis

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title = "A physical description offractional-order Fourier diffusion",

abstract = "In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.",

author = "Gianluca Alaimo and Massimiliano Zingales and Gianluca Alaimo and Massimiliano Zingales",

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AU - Alaimo, Gianluca

AU - Zingales, Massimiliano

AU - Alaimo, Gianluca

AU - Zingales, Massimiliano

PY - 2014

Y1 - 2014

N2 - In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.

AB - In this paper the authors introduce a physical picture of anomalous heat transfer in rigid conductor. The analysis shows that a fractional-order Fourier transport is obtained by the analysis of the heat transport in a functionally graded conductor. The order of the fractional-type operator obtained is related to the grading of the physical properties of the conductor.

UR - http://hdl.handle.net/10447/101251

M3 - Conference contribution

SN - 978-1-4799-2591-9

BT - 2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA)

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