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

Ai-Min Yang; Carlo Cattani; Ce Zhang; Gong-Nan Xie; Xiao-Jun Yang

doi:10.1155/2014/514639

Advances in Mechanical Engineering (Mar 2014)

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

Ai-Min Yang,
Carlo Cattani,
Ce Zhang,
Gong-Nan Xie,
Xiao-Jun Yang

Affiliations

Ai-Min Yang: College of Mechanical Engineering, Yanshan University, Qinhuangdao, China
Carlo Cattani: Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy
Ce Zhang: School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, China
Gong-Nan Xie: School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi, China
Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

DOI: https://doi.org/10.1155/2014/514639
Journal volume & issue: Vol. 6

Abstract

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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.

Published in Advances in Mechanical Engineering

ISSN: 1687-8132 (Print); 1687-8140 (Online)
Publisher: SAGE Publishing
Country of publisher: United Kingdom
LCC subjects: Technology: Mechanical engineering and machinery
Website: https://journals.sagepub.com/home/ade

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