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。
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。
It presents a blind image watermarking scheme based on fractional Fourier domain by utilizing that the order of fractional Fourier transform is freewill.
利用分数傅立叶变换级次的任意性，提出了一种基于分数傅立叶域图象水印方案。
The axial flow in a pipe of the fractional generalized second order fluid is studied.
研究了分数阶广义二阶流体的管内轴向流动问题。
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。
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。
Combining fractional order differential theory with total variation method, a new image denoising model was proposed, which was based on fractional Partial Differential Equation (PDE).
将分数阶微分理论和全变分方法相结合应用于图像去噪，提出了一种基于分数阶偏微分方程的图像去噪新模型。
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。
Finally a stability criterion is introduced for linear non time-varying fractional-order systems.
最后介绍了一种分数阶线性定常系统的稳定性判据。
This article gives a calculation of the errors for the fractional parts of central interference order of the Fabry-perot interferometer.
本文给出了法珀干涉仪中央条纹干涉级小数部分的误差计算。
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。
In the present paper, a type of higher order dual model is formulated for minimax fractional programming problem.
提出了一个非线性规划的对称对偶模型，它统一了非线性规划中两类对称模型。
And the fractional -order chaotic system is very useful for security communication because it is a new chaotic system for its order is adjustable and the actual system usually is differential form.
另外，分数阶混沌系统是一类新型的混沌系统，其阶数可调使得它在复杂度上更优于整数阶混沌系统，同时，实际系统也通常以微分形式存在，因此分数阶混沌系统也很适用于保密通信。
And the fractional -order chaotic system is very useful for security communication because it is a new chaotic system for its order is adjustable and the actual system usually is differential form.
另外，分数阶混沌系统是一类新型的混沌系统，其阶数可调使得它在复杂度上更优于整数阶混沌系统，同时，实际系统也通常以微分形式存在，因此分数阶混沌系统也很适用于保密通信。
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