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Connection between the order of fractional calculus and fractional dimensions of a type of fractal functions |
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| Authors: | Yongshun Liang Weiyi Su |
| Affiliation: | (1) Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China |
| Abstract: | The linear relationship between fractal dimensions of a type of generalized Weierstrass functions and the order of their fractional calculus has been proved. The graphs and numerical results given here further indicate the corresponding relationship. |
| Keywords: | generalized Weierstrass function Riemann-Liouville fractional calculus fractal dimension linear graph FUNCTIONS FRACTAL TYPE DIMENSIONS FRACTIONAL CALCULUS ORDER graphs numerical results linear relationship fractal dimensions type generalized functions order fractional calculus |
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