Search results for "Fractional-order derivative"

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Fractional-order theory of heat transport in rigid bodies

2014

Abstract The non-local model of heat transfer, used to describe the deviations of the temperature field from the well-known prediction of Fourier/Cattaneo models experienced in complex media, is framed in the context of fractional-order calculus. It has been assumed (Borino et al., 2011 [53] , Mongiovi and Zingales, 2013 [54] ) that thermal energy transport is due to two phenomena: ( i ) A short-range heat flux ruled by a local transport equation; ( ii ) A long-range thermal energy transfer proportional to a distance-decaying function, to the relative temperature and to the product of the interacting masses. The distance-decaying function is assumed in the functional class of the power-law …

PhysicsNumerical AnalysisField (physics)business.industryApplied MathematicsFractional derivatives; Fractional-order calculus; Fractional-order derivatives; Generalized entropies; Molecular dynamics simulations; Nonlocal; Relative temperatures; Thermal energy transportThermodynamicsContext (language use)Fractional derivativeFractional-order calculuFractional calculusRelative temperatureHeat fluxModeling and SimulationHeat transferGeneralized entropieMolecular dynamics simulationFractional-order derivativeBoundary value problembusinessConvection–diffusion equationNonlocalSettore ICAR/08 - Scienza Delle CostruzioniThermal energyThermal energy transport
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