A NEW FRACTIONAL DERIVATIVE MODEL FOR THE ANOMALOUS DIFFUSION PROBLEM

被引：9
|
作者：
Chen, Zhanqing [1 ,2 ]
Qiu, Peitao [1 ,3 ,4 ]
Yang, Xiao-Jun [1 ]
Feng, Yiying [2 ]
Liu, Jiangen
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Jiangsu, Peoples R China
[3] Xuzhou Univ Technol, Sch Civil Engn, Xuzhou, Jiangsu, Peoples R China
[4] China Univ Min & Technol, Sch Math, Xuzhou, Jiangsu, Peoples R China
来源：
THERMAL SCIENCE | 2019年 / 23卷
关键词：
fractional derivative; exponential decay kernel; anomalous diffusion; analytical solution; Laplace transform;
D O I：
10.2298/TSCI180912253C
中图分类号：
O414.1 [热力学];
学科分类号：
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.
引用
收藏
页码：S1005 / S1011
页数：7
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