The main research work isdescribed in detail in the following:First, we define the fractional integral and fractional derivative of fractalfunction. And we study some properties as to the definition of fractionalcalculus.
论文的主要研究工作详述如下：第一，我们定义了分形函数的分数阶积分和分数阶微分且针对分数阶微积分的定义研究了它的一些性质。
参考来源 - 一类分形函数的分数阶微积分及其维数·2,447,543篇论文数据，部分数据来源于NoteExpress
A new numerical method for the fractional integral that only stores part history data is presented, and its discretization error is estimated.
提出了一种只需要存储部分历史数据的分数积分的数值计算方法，并给出了误差估计。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
The authors give the two-weight weak-type inequality for the rough fractional integral operator, which is an extension of result obtained by Cruz-Uribe and Perez.
作者得到了粗糙核分数次积分算子的两权弱型不等式，推广了Cruz-Uribe和Perez的结果。
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