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

School of Marine Science and Technology

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Article number	514639
Journal	Advances in Mechanical Engineering
Volume	2014
DOIs	https://doi.org/10.1155/2014/514639
State	Published - 2014

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

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",

doi = "10.1155/2014/514639",

language = "英语",

volume = "2014",

journal = "Advances in Mechanical Engineering",

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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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U2 - 10.1155/2014/514639

DO - 10.1155/2014/514639

M3 - 文章

AN - SCOPUS:84897825779

SN - 1687-8132

VL - 2014

JO - Advances in Mechanical Engineering

JF - Advances in Mechanical Engineering

M1 - 514639

ER -

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

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