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1·In this equation, the diffusion is a fractional order derivative of time and space.

在此方程中，弥散项和对时间的导数为分数阶导数所代替。

2·The stability, controllability and observability of fractional order system are investigated.

给出了分数阶系统的稳定性条件、可控性和可观性判断依据；

3·At the same time, it overcomes the shift of the edge using fractional order differentiation directly.

同时，它还克服了直接用分数阶微分检测边缘时，有边缘漂移的问题。

4·Absrtact: The calculation work of solving a fractional order differential system is huge since it relating to history.

摘 要： 由于分数阶微分系统具有记忆功能，在其求解过程中计算量较大。

5·A novel fuzzy fractional order proportional integral derivative (FFPID) controller based on fractional calculus is presented.

在分析分数阶微积分的基础上，提出了一种新型模糊分数阶比例积分微分控制器。

6·This paper USES fractional order hold (FROH) to replace the traditional zero-order hold (ZOH), designs a numerical control system for the fin.

论文采用分数阶保持器(FROH)代替传统的零阶保持器(ZOH)，对减摇鳍系统进行数字控制设计。

7·The solution of this fractional order advection-dispersion equation is fractional stable probability distribution density with four parameters.

此方程的柯西问题的格林函数解是一分数稳定分布密度函数。

8·We analyzed the variation of diffusion with the fractional order by applying the numerical scheme in a test case and verified the temporal and spatial correlation.

针对理想算例进行计算求解，分析了时间和空间分数阶阶数取不同值时的扩散变化规律，验证了各自所描述的时间相关性与空间相关性。

9·Finally, the influences of the measurement noise and the fractional order error to the stability of this algorithm are analyzed in one-dimensional case, respectively.

最后在一维情形下分析了探测噪声和光路位置调整误差对算法稳定性的影响。

10·The aim of this paper is to give a simulation of creep and relaxation laws of concrete with aging by using standard-linear-like body with fractional order derivatives.

本文的目的是采用含分数阶导数的类标准线性体来模拟考虑老化的混凝土的蠕变和松弛规律。