Author(s)

Guangjun Yang¹, Xiaoling Yang², Ping Wang³

¹College of Mathematics and Statistics, Yunnan University, Kunming, China.
²College of Mathematics and Statistics, Yunnan University of Finance and Economy, Kunming, China.
³Department of Mathematics, Penn State University, Schuylkill Haven, USA.

In this paper, we introduce a K Hölder p-adic derivative that can be applied to fractal curves with different Hölder exponent K. We will show that the Koch curve satisfies the Hölder condition with exponent and has a 4-adic arithmetic-analytic representation. We will prove that the Koch curve has exact -Hölder 4-adic derivative.

Fractal, Koch Curve, Hölder Inequality, Hölder Derivative

Yang, G. , Yang, X. and Wang, P. (2023) Hölder Derivative of the Koch Curve. Journal of Applied Mathematics and Physics, 11, 101-114. doi: 10.4236/jamp.2023.111008.