## THERMAL SCIENCE

International Scientific Journal

### A DELAYED FRACTIONAL MODEL FOR COCOON’S HEAT-PROOF PROPERTY

**ABSTRACT**

Silkworm cocoon is extremely insensitive to environment change, and a pupa can be survived in a harsh environment. This paper gives a mathematical explanation to this superior survival ability and an experiment is carefully carried out to verify the mechanism. The results are of great importance to design functional clothing for harsh environment, e. g., a moon suit.

**KEYWORDS**

PAPER SUBMITTED: 2016-04-15

PAPER REVISED: 2016-05-10

PAPER ACCEPTED: 2017-03-22

PUBLISHED ONLINE: 2017-04-08

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**Issue 4**, PAGES [1867 - 1871]

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- Li, Z. B., He, J. H., Fractional Complex Transform for Fractional Differential Equations, Mathematical & Computational Applications, 15 (2010), 5, pp. 970-973
- He, J. H., Li, Z. B., Converting Fractional Differential Equations into Partical Differential Equations, Thermal Science, 16 (2012), 2, pp. 331-334
- He, J. H., Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis, 2012, Article ID 916793
- Li, Z.B., Zhu, W.H., Fractional Series Expansion Method for Fractional Differential Equations, International Journal of Numerical Methods for Heat & Fuid Flow, 25 (2015), 7, pp. 1525-1530
- He, J. H., Some Asymptotic Methods for Strongly Nonlinear Equations, International Journal of Modern Physics B, 20 (2006), 10, pp. 1141-1199
- He, J. H., Elagan, S. K., Li, Z. B., Geometrical Explanation of the Fractional Complex Transform and Derivative Chain Rule for Fractional Calculus, Physics Letters A , 376 (2012), 4, pp. 257-259
- Zhou, J., Liu, F. J., He, J. H., On Richards' Equation for Water Transport in Unsaturated Soils and Porous Fabrics, Computers and Geotechnics, 54 (2013), pp. 69-71