A new fractional derivative model for the anomalous diffusion problem

Thermal Science

Liu Jiangen¹  Feng Yiying²  Qiu Peitao³  Chen Zhanqing⁴  Yang Xiao-Jun⁵ 

[1] School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, China;School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China;State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China + School of Civil Engineering, Xuzhou University of Technology, Xuzhou, China;State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China + School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China;State Key Laboratory for GeoMechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China;

关键词: fractional derivative;    exponential decay kernel;    anomalous diffusion;    analytical solution;    laplace transform;   

DOI  :  10.2298/TSCI180912253C

来源: DOAJ

【 摘 要 】

In this paper, a new fractional derivative within the exponential decay kernel is addressed for the first time. A new anomalous diffusion model is proposed to describe the heat-conduction problem. With the use of the Laplace transform, the analytical solution is discussed in detail. The presented result is as an accurate and efficient approach proposed for the heat-conduction problem in the complex phenomena.

【 授权许可】

Unknown