## THERMAL SCIENCE

International Scientific Journal

### FRACTIONAL MODEL FOR HEAT CONDUCTION IN POLAR BEAR HAIRS

**ABSTRACT**

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**

PAPER SUBMITTED: 2011-05-03

PAPER REVISED: 2011-07-11

PAPER ACCEPTED: 2011-07-18

**THERMAL SCIENCE** YEAR

**2012**, VOLUME

**16**, ISSUE

**2**, PAGES [339 - 342]

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