Local fractional calculus application to differential equations arising in fractal heat transfer

Xiao Jun Yang; Carlo Cattani; Gongnan Xie

doi:10.1515/9783110472097-017

Local fractional calculus application to differential equations arising in fractal heat transfer

Xiao Jun Yang, Carlo Cattani, Gongnan Xie

航海学院

科研成果: 书/报告/会议事项章节 › 章节 › 同行评审

1 引用（Scopus）

摘要

This chapter presents an application of local fractional calculus to differential equations arising in fractal heat transfer. The non-differentiable problems comprising the homogeneous and non-homogeneous heat, Poisson and Laplace equations of fractal heat transfer are investigated. The 2D partial differential equations of fractal heat transfer in Cantor-type circle coordinate systems are also discussed.

源语言	英语
主期刊名	Fractional Dynamics
出版商	De Gruyter
页	272-285
页数	14
ISBN（电子版）	9783110472097
ISBN（印刷版）	9783110472080
DOI	https://doi.org/10.1515/9783110472097-017
出版状态	已出版 - 1 1月 2015

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AB - This chapter presents an application of local fractional calculus to differential equations arising in fractal heat transfer. The non-differentiable problems comprising the homogeneous and non-homogeneous heat, Poisson and Laplace equations of fractal heat transfer are investigated. The 2D partial differential equations of fractal heat transfer in Cantor-type circle coordinate systems are also discussed.

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Local fractional calculus application to differential equations arising in fractal heat transfer

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