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A physical description of fractional-order Fourier diffusion

2014

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.

Materials scienceDifferential equationMathematics::Number TheoryOperator (physics)Mathematical analysisCondensed Matter::Mesoscopic Systems and Quantum Hall EffectConductorsymbols.namesakeFourier transformFourier numberThermal diffusion Fourier Equations Fractional-order calculus Temperature evolutionHeat transfersymbolsDiffusion (business)Settore ICAR/08 - Scienza Delle CostruzioniElectrical conductorICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014
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