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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.
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https://hal.univ-lorraine.fr/hal-01593785
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Jordan Hristov, Mohammed El Ganaoui. Thermal impedance estimations by semi-derivatives and semi-integrals: 1-D semi-infinite cases. Thermal Science, VINČA Institute of Nuclear Sciences, 2013, 17 (2), pp.581-589. ⟨10.2298/TSCI120522211H⟩. ⟨hal-01593785⟩

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