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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=
PAPER REVISED: 2012-11-13
PAPER ACCEPTED: 2012-11-20
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THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 2, PAGES [581 - 589]
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