A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow

被引：217

作者：

Yang, Xiao-Jun ^{[1
]}

Srivastava, Hari M. ^{[2
,3
]}

Machado, J. A. Tenreiro ^{[4
]}

机构：

[1] China Univ Min & Technol, Dept Math & Mech, Xuzhou, Peoples R China

[2] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada

[3] China Med Univ, Taichung, Taiwan

[4] Polytech Porto, Inst Engn, Dept Elect Engn, Oporto, Portugal

来源：

THERMAL SCIENCE | 2016年 / 20卷 / 02期

关键词：

heat conduction; steady heat flow; analytical solution; Laplace transform; fractional derivative without singular kernel;

D O I：

10.2298/TSCI151224222Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.

引用

页码：753 / 756

页数：4

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