Weierstrass函数的盒维数与Riemann-Liouville分数阶积分的阶之间联系更进一步的研究
Further Discussion on Relationship between Fractal Dimension of Weierstrass Function and Order of Riemann-Liouville Fractional Integral
摘要: 本文中，我们更完整地对IE上Weierstrass函数分形维数与Riemann-Liouville分数阶微积分的阶之间进行了研究。即当α + v不再小于1时，Weierstrass函数的Riemann-Liouville分数阶积分的分形维数被证明是1。
Abstract: In this paper, we investigate further relationship between fractal dimension of the Weierstrass function on IE and the order of fractional calculus in Riemann-Liouville. That is, when α + v is no longer less than 1, the fractal dimension of the Riemann-Liouville fractional integral of Weierstrass function is proved to be 1.
文章引用：高鸿博, 梁永顺. Weierstrass函数的盒维数与Riemann-Liouville分数阶积分的阶之间联系更进一步的研究[J]. 理论数学, 2020, 10(11): 1035-1043. https://doi.org/10.12677/PM.2020.1011123

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