He’s fractional derivative for heat conduction in a fractal medium arising in silkworm cocoon hierarchy-Reference-Cited by-同舟云学术

He’s fractional derivative for heat conduction in a fractal medium arising in silkworm cocoon hierarchy

Published:2015 Issue:4 Volume:19 Page:1155-1159
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Liu Fu-Juan¹,Li Zheng-Biao²,Zhang Sheng³,Liu Hong-Yan⁴

Affiliation:

1. Soochow University, College of Textile and Clothing Engineering, National Engineering Laboratory for Modern Silk, Suzhou, China + Soochow University, Nantong Textile Institute, Nantong, China

2. Qujing Normal University, College of Mathematics and Information Science, Qujing, China

3. Bohai University, School of Mathematics and Physics, Jinzhou, China

4. Zhongyuan University of Technology, School of Fashion, Zhengzhou, China

Abstract

He?s fractional derivative is adopted in this paper to study the heat conduction in fractal medium. The fractional complex transformation is applied to convert the fractional differential equation to ordinary different equation. Boltzmann transform and wave transform are used to further simplify the governing equation for some special cases. Silkworm cocoon are used as an example to elucidate its natural phenomenon.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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