Both silkworm cocoons and wild silkworm cocoons have excellent mechanical
properties, as a protective barrier against environmental damage and attack
by natural predators. In particular, this multilayer porous structure can be
exceptionally tough to enhance the chance of survival for pupas while
supporting their metabolic activity. Here, a fractional derivative is defined
through the variational iteration method, and its application to explaining
the outstanding thermal protection of insulation clothings with cocoon-like
porous structure is elucidated. The fractal hierarchic structure of
insulation clothings makes human body mathematically adapted for extreme
temperature environment.