Local Fractional Fourier Series Solutions for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative-Reference-Cited by-同舟云学术

Local Fractional Fourier Series Solutions for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative

Published:2014-01-01 Issue: Volume:6 Page:514639
ISSN:1687-8140
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Yang Ai-Min¹²,Cattani Carlo³,Zhang Ce⁴,Xie Gong-Nan⁵,Yang Xiao-Jun⁶

Affiliation:

1. College of Science, Hebei United University, Tangshan, China

2. College of Mechanical Engineering, Yanshan University, Qinhuangdao, China

3. Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy

4. School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, China

5. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi, China

6. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Abstract

The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat equations arising in fractal heat flow are discussed. The local fractional Fourier series solutions for one-dimensional nonhomogeneous heat equations are obtained. The nondifferentiable series solutions are given to show the efficiency and implementation of the present method.

Funder

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1155/2014/514639

Reference24 articles.

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2. Constructal tree networks for heat transfer

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