GENERAL FRACTIONAL CALCULUS IN NON-SINGULAR POWER-LAW KERNEL APPLIED TO MODEL ANOMALOUS DIFFUSION PHENOMENA IN HEAT TRANSFER PROBLEMS

被引：30

作者：

Gao, Feng ^{[1
,2
]}

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

来源：

THERMAL SCIENCE | 2017年 / 21卷

关键词：

heat transfer; anomalous diffusion; general fractional calculus; Fourier transforms;

D O I：

10.2298/TSCI170310194G

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper we address the general fractional calculus of Liouville-Weyl and Liouville-Caputo general fractional derivative types with non-singular power-law kernel for the first time. The Fourier transforms and the anomalous diffusions are discussed in detail. The formulations are adopted to describe complex phenomena of the heat transfer problems.

引用

页码：S11 / S18

页数：8

共 21 条

[1] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].