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

被引：211

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

共 14 条

[1] Fractional electrical circuits
Alsaedi, Ahmed
Nieto, Juan J.
Venktesh, V.
[J]. ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (12):
[2] On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
Atangana, Abdon
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 948 - 956
[3] Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
Atangana, Abdon
Jose Nieto, Juan
[J]. ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (10): : 1 - 7
[4] Caputo M., 2015, Progress Fract. Diff. Appl, V1, P73, DOI DOI 10.12785/PFDA/010201
[5] Debnath L., 2014, Integral Transforms and Their Applications
[6] THERMAL IMPEDANCE ESTIMATIONS BY SEMI-DERIVATIVES AND SEMI-INTEGRALS 1-D semi-infinite cases
Hristov, Jordan
El Ganaoui, Mohammed
[J]. THERMAL SCIENCE, 2013, 17 (02): : 581 - 589
[7] FRACTIONAL ORDER THERMOELASTIC PROBLEM FOR AN INFINITELY LONG SOLID CIRCULAR CYLINDER
Hussein, Eman M.
[J]. JOURNAL OF THERMAL STRESSES, 2015, 38 (02) : 133 - 145
[8] A DECOMPOSITION METHOD FOR SOLVING DIFFUSION EQUATIONS VIA LOCAL FRACTIONAL TIME DERIVATIVE
Jafari, Hossein
Tajadodi, Haleh
Johnston, Sarah Jane
[J]. THERMAL SCIENCE, 2015, 19 : S123 - S129
[9] Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses
Povstenko, Y. Z.
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (04) : 436 - 440
[10] Stein EM., 1972, INTRO FOURIER ANAL E

← 1 2 →