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Entropy 2015, 17(10), 6753-6764; doi:10.3390/e17106753

Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains

1
College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450000, China
2
Engineering School (DEIM), University "La Tuscia", Largo dell'Università s.n.c., Viterbo 01100, Italy
3
Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou 221008, China
*
Author to whom correspondence should be addressed.
Academic Editor: Carlo Cafaro
Received: 27 May 2015 / Revised: 16 August 2015 / Accepted: 23 September 2015 / Published: 5 October 2015
(This article belongs to the Special Issue Dynamical Equations and Causal Structures from Observations)
View Full-Text   |   Download PDF [633 KB, uploaded 5 October 2015]   |  

Abstract

In this article, the local fractional Homotopy perturbation method is utilized to solve the non-homogeneous heat conduction equations. The operator is considered in the sense of the local fractional differential operator. Comparative results between non-homogeneous and homogeneous heat conduction equations are presented. The obtained result shows the non-differentiable behavior of heat conduction of the fractal temperature field in homogeneous media. View Full-Text
Keywords: homotopy perturbation method; heat conduction equation; local fractional derivative; fractals homotopy perturbation method; heat conduction equation; local fractional derivative; fractals
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Zhang, Y.; Cattani, C.; Yang, X.-J. Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains. Entropy 2015, 17, 6753-6764.

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