Title of article
Stokesʹ theorem for domains with fractal boundary
Author/Authors
Jiang، نويسنده , , Huikun and Gu، نويسنده , , Zheng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
6
From page
164
To page
169
Abstract
In this paper, integrals of second kind over a rectifiable curve or a piecewise smooth surface are extended to continuous fractal curves and surfaces. Theorems for the existence of these integrals are proved. Greenʹs, Gaussʹ and Stokesʹ theorems are developed for domains with fractal boundaries.
Keywords
Greenיs formula , Integrals of second kind , Stokesי theorem , Fractal boundary
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560203
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