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Vázquez, Luis; Trujillo, Juan J.; Velasco, M. Pilar

Fractional heat equation and the second law of thermodynamics. (English) Zbl 1273.80002

Fract. Calc. Appl. Anal. 14, No. 3, 334-342 (2011).
Summary: In the framework of second law of thermodynamics, we analyze a set of fractional generalized heat equations. The second law ensures that the heat flows from hot to cold regions, and this condition is analyzed in the context of fractional calculus.

Cited in 24 Documents

MSC:

80A10 Classical and relativistic thermodynamics
35Q79 PDEs in connection with classical thermodynamics and heat transfer
35R11 Fractional partial differential equations

Keywords:

second law of thermodynamics; fractional heat equation; fractional derivatives and integrals
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\textit{L. Vázquez} et al., Fract. Calc. Appl. Anal. 14, No. 3, 334--342 (2011; Zbl 1273.80002)
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References:

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