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

页码：S1 / S9

页数：9

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