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Some Remarks on One-dimensional Functions and Their Riemann-Liouville Fractional Calculus

作者:Qi; ZHANG连续函数分数阶微积分黎曼一维注记分数次积分盒维数

摘要:A one-dimensional continuous function of unbounded variation on [0,1] has been constructed.The length of its graph is infnite,while part of this function displays fractal features.The Box dimension of its Riemann–Liouville fractional integral has been calculated.

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