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The Fractional Derivatives of a Fractal Function

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Yao Kui 1   Su Weiyi 2   Zhou Songping 3  
文摘 The present paper investigates the fractional derivatives of Weierstrass function, proves that there exists some linear connection between the order of the fractional derivatives and the dimension of the graphs of Weierstrass function.
来源 Acta Mathematica Sinica. English Series ,2006,22(3):719-722 【核心库】
DOI 10.1007/s10114-005-0644-z
关键词 Weierstrass function ; fractional derivatives ; dimensions of graphs of functions
地址

1. Department of Mathematics, Nanjing University and PLA University of Sci-Tech, Nanjing, 210006  

2. Department of Mathematics, Nanjing University, Nanjing, 210093  

3. Institute of Mathematics, Zhejiang Sci- Tech University, Hangzhou, 310000

语种 英文
文献类型 研究性论文
ISSN 1439-8516
学科 数学
基金 国家自然科学基金
文献收藏号 CSCD:2674209

参考文献 共 12 共1页

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11.  Zhou S P. Fractional Integrals of the Weierstrass Functions:The exact box dimension. Analysis in Theory and Applications,2004,20(4):332-341 CSCD被引 6    
12.  Yao K. :On the Connection Between the order of Fractional calculus and theDimensions of a Fractal Function:Chaos. Solitons and Fractals,2005,23:621-629 CSCD被引 7    
引证文献 10

1 Predrag M. RAJKOVIC A Generalization of the Concept of q-fractional Integrals Acta Mathematica Sinica. English Series,2009,25(10):1635-1646
CSCD被引 1

2 梁永顺 Koch曲线及其分数阶微积分 数学学报,2011,54(2):227-240
CSCD被引 0 次

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