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

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

航海学院

科研成果: 期刊稿件 › 文章 › 同行评审

20 引用（Scopus）

摘要

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.

源语言	英语
文章编号	514639
期刊	Advances in Mechanical Engineering
卷	2014
DOI	https://doi.org/10.1155/2014/514639
出版状态	已出版 - 2014

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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.",

author = "Yang, {Ai Min} and Carlo Cattani and Ce Zhang and Xie, {Gong Nan} and Yang, {Xiao Jun}",

year = "2014",

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AU - Yang, Ai Min

AU - Cattani, Carlo

AU - Zhang, Ce

AU - Xie, Gong Nan

AU - Yang, Xiao Jun

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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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DO - 10.1155/2014/514639

M3 - 文章

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SN - 1687-8132

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JO - Advances in Mechanical Engineering

JF - Advances in Mechanical Engineering

M1 - 514639

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Local fractional fourier series solutions for nonhomogeneous heat equations arising in fractal heat flow with local fractional derivative

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