p-Adic Calculus and its Applications to Fractal Analysis and Medical Science

Weiyi Su and Hua Qiu

Abstract: Recently, we reconsider continuously definitions and properties of Gibbs derivatives on p adic field Q_p, by using so called pseudu-differential operators T^α, we find the kernel κ_α of T^α, as well as the spectra of it. Moreover, we show some applications of T^&alpha to fractal analysis and medical science.

Keywords: Fractal analysis, Gibbs derivatives, p-adic calculus, p-adic field, medical sciences.