Thermal Science 2012 Volume 16, Issue 2, Pages: 339-342
doi:10.2298/TSCI110503070W
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Fractional model for heat conduction in polar bear hairs

Wang Qing-Li, He Ji-Huan, Li Zheng-Biao

Time-fractional differential equations can accurately describe heat conduction in fractal media, such as wool fibers, goose down and polar bear hair. The fractional complex transform is used to convert time-fractional heat conduction equations with the modified Riemann-Liouville derivative into ordinary differential equations, and exact solutions can be easily obtained. The solution process is straightforward and concise.

Keywords: Fractional Complex Transform, modified Riemann-Liouville derivative, time-fractional Heat Conduction Equation, anomalous heat conduction