H-Derivative of the Function Defined on Fractal Set

DONG Xiao-Dan; JI Hui; CHEN Yong-Shun; JIANG Yi-He; LI Rui; WU Yu-Xia; LI Wei

doi:10.11858/gywlxb.1999.03.014

Volume 13 Issue 3

May. 2015

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Article Contents

Chinese Journal of High Pressure Physics > 1999 > 13(3): 237-240 .

DONG Xiao-Dan, JI Hui, CHEN Yong-Shun, JIANG Yi-He, LI Rui, WU Yu-Xia, LI Wei. H-Derivative of the Function Defined on Fractal Set[J]. Chinese Journal of High Pressure Physics, 1999, 13(3): 237-240 . doi: 10.11858/gywlxb.1999.03.014

Citation:

DONG Xiao-Dan, JI Hui, CHEN Yong-Shun, JIANG Yi-He, LI Rui, WU Yu-Xia, LI Wei. H-Derivative of the Function Defined on Fractal Set[J]. Chinese Journal of High Pressure Physics, 1999, 13(3): 237-240 . doi: 10.11858/gywlxb.1999.03.014

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H-Derivative of the Function Defined on Fractal Set

doi: 10.11858/gywlxb.1999.03.014

1.
The First People's Hospital of Shenyang, Shenyang 110041, China;
2.
Institute of Agricultural Sciences, Shenyang 110034, China

More Information

Corresponding author: DONG Xiao-Dan
Received Date: 10 Aug 1998
Rev Recd Date: 26 Oct 1998
Publish Date: 05 Sep 1999

Abstract

Abstract

In this paper, H-derivative of the function defined on fractal set is given as follows f(1)HE(S0)=limS0 |f(S0)/2S|D1D2～|fE(S)|D1D2 and the evolution equation of fractal dynamics is proved.
- defined set of fractal,
- derivative,
- Hausdorff measure