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Local Fractional Fourier Series Solutions for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative
Journal article   Open access  Peer reviewed

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 and Xiao-Jun Yang
Advances in mechanical engineering, Vol.2014, p.514639
01/01/2014
DOI: https://doi.org/10.1155/2014/514639

Abstract

Engineering Engineering, Mechanical Physical Sciences Science & Technology Technology Thermodynamics
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.
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https://doi.org/10.1155/2014/514639View
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