A new fractional derivative and its application to explanation of polar bear hairs

Abstract

A new fractional derivative is defined through the variational iteration method, and its application in explaining the excellent thermal protection of polar bear hairs is elucidated. The fractal porosity of its inner structure makes a polar bear mathematically adapted for living in a harsh Arctic region.

Keywords

• Fractional differential equation
• Variational iteration method
• Polar bear
• Biomimic design