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

School of Marine Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Title of host publication	Fractional Dynamics
Publisher	De Gruyter
Pages	272-285
Number of pages	14
ISBN (Electronic)	9783110472097
ISBN (Print)	9783110472080
DOIs	https://doi.org/10.1515/9783110472097-017
State	Published - 1 Jan 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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