On Rectifiable Curves in the Plane
On Rectifiable Curves in the Plane
摘要
This paper gives a formula of integral for the rectifiable curves in the plane by the Hausdorff fractional derivation and integral.
This paper gives a formula of integral for the rectifiable curves in the plane by the Hausdorff fractional derivation and integral.
基金
This work is supported by JUTCSF.
参考文献7
-
1Lu S. P.Hausdorff calculus and some of its applications, Northeast Math[].J.1998
-
2.
-
3I. P. Natanson.Theory of functions of a real variable, Vol. II[]..1961
-
4Lee C. M.On rectifiable curves and cantor-like functions[].Real Analysis Exchange.1997
-
5Falconer K J.The geometry of fractal sets[]..1985
-
6Falconer KJ.Fractal geometry: mathematical foundations and applications[]..1990
-
7Evans LC,Gariepy RF.Measure Theory and Fine Properties of Functions[]..1992
