THERMAL SCIENCE

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Jordan Y. Hristov

,

Mohammed El Ganaoui

THERMAL IMPEDANCE ESTIMATIONS BY SEMI-DERIVATIVES AND SEMI-INTEGRALS: 1-D SEMI-INFINITE CASES

ABSTRACT
Simple 1-D semi-infinite heat conduction problems enable to demonstrate the potential of the fractional calculus in determination of transient thermal impedances under various boundary conditions imposed at the interface (x=0). The approach is purely analytic and very effective because it uses only simple semi-derivatives (half-time) and semi-integrals and avoids development of entire domain solutions. 0x=
KEYWORDS
thermal impedance, fractional calculus, half-time fractional derivatives
PAPER SUBMITTED: 2012-05-22
PAPER REVISED: 2012-11-13
PAPER ACCEPTED: 2012-11-20
DOI REFERENCE: https://doi.org/10.2298/TSCI120522211H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 2, PAGES [581 - 589]
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Thermal impedance estimations by semi-derivatives and semi-integrals: 1-D semi-infinite cases

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