Heat conduction equation in fractional-order derivatives

Heat conduction equation in fractional-order derivatives

Based on the heat conduction equation in fractional-order derivatives, the influence of the nonlocality of the heat conduction equation in time and space on temperature distribution in media with fractal structure is investigated. The cases of an infinite and semibounded straight line are considered...

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Veröffentlicht in:Journal of engineering physics and thermophysics 2011-03, Vol.84 (2), p.332-341
Hauptverfasser: Alkhasov, A. B., Meilanov, R. P., Shabanova, M. R.
Format: Artikel
Sprache:eng
Schlagworte:
Classical Mechanics
Complex Systems
Conduction
Derivatives
Engineering
Engineering Thermodynamics
Fractal analysis
Fractals
Heat and Mass Transfer
Heat conduction
Heat Conduction and Heat Transfer in Technological Processes
Heat transfer
Industrial Chemistry/Chemical Engineering
Mathematical analysis
Straight lines
Thermodynamics
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Beschreibung
Zusammenfassung:Based on the heat conduction equation in fractional-order derivatives, the influence of the nonlocality of the heat conduction equation in time and space on temperature distribution in media with fractal structure is investigated. The cases of an infinite and semibounded straight line are considered.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-011-0477-9