Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619905 | Journal of Mathematical Analysis and Applications | 2009 | 6 Pages |
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. Green's, Gauss' and Stokes' theorems are developed for domains with fractal boundaries.
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Physical Sciences and Engineering
Mathematics
Analysis