On the Connection between the Order of Riemann-Liouvile Fractional Calculus and Hausdorff Dimension of a Fractal Function  

作　　者：Jun Wang Kui Yao Yongshun Liang 

机构地区：[1]Institue of Science, PLA University of Science and Technology [2]Institue of Science, Nanjing University of Science and Technology

出　　处：《Analysis in Theory and Applications》2016年第3期283-290,共8页分析理论与应用（英文刊）

基　　金：supported by BK 20161492;NSFA 11471157

摘　　要：This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouvile fractional integrals and the Hausdorff dimension of a fractal function.This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouvile fractional integrals and the Hausdorff dimension of a fractal function.

关 键 词：Fractional calculus Hausdorff dimension Riemann-Liouvile fractional integral 

分 类 号：O172[理学—数学]