GENERAL FRACTIONAL-ORDER ANOMALOUS DIFFUSION WITH NON-SINGULAR POWER-LAW KERNEL

被引：27
|
作者：
Yang, Xiao-Jun [1 ,2 ]
Srivastava, Hari Mohan [3 ,4 ]
Torres, Delfim F. M. [5 ]
Debbouche, Arnar [5 ,6 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Peoples R China
[3] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada
[4] China Med Univ, Taichung, Taiwan
[5] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, Aveiro, Portugal
[6] Guelma Univ, Dept Math, Guelma, Algeria
来源：
THERMAL SCIENCE | 2017年 / 21卷
关键词：
general fractional derivative with non-singular power-law kernel; Riemann-Liouville general fractional derivative; anomalous diffusion; Liouville-Caputo general fractional derivative; MODELS; FLOW;
D O I：
10.2298/TSCI170610193Y
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we investigate general fractional derivatives with a non-singular power-law kernel. The anomalous diffusion models with non-singular power-law kernel are discussed in detail. The results are efficient for modelling the anomalous behaviors within the frameworks of the Riemann-Lionville and Liouville-Caputo general fractional derivatives.
引用
收藏
页码：S1 / S9
页数：9
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