一类是具有小分数阶阻尼振子解的渐近性。
One is the asymptotic nature with the solution of small fractional damping oscillator.
考虑一个含有变系数的一维分数阶渗透方程。
In this paper, an one-dimensional fractional percolation equation with variable coefficients is considered.
建立了含有外力的分数阶非线性对流-扩散方程。
Fractional nonlinear convection-diffusion equation with external forces is given.
研究了分数阶广义二阶流体的管内轴向流动问题。
The axial flow in a pipe of the fractional generalized second order fluid is studied.
最后介绍了一种分数阶线性定常系统的稳定性判据。
Finally a stability criterion is introduced for linear non time-varying fractional-order systems.
建立了分形介质中分数阶瞬时点源反常守恒扩散模型。
The model of fractional anomalous diffusion caused by an instantaneous point source in fractal media is established.
设计并实现了一种基于分数阶相关的盲图像水印算法。
A blind digital image watermarking based on fractional correlation is presented.
在此方程中，弥散项和对时间的导数为分数阶导数所代替。
In this equation, the diffusion is a fractional order derivative of time and space.
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；
The stability, controllability and observability of fractional order system are investigated.
基于分数阶线性系统的稳定性理论，分析了该方法的稳定性。
Based on the stability theory of fractional-order linear system, stability of the proposed method is analysed.
在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换。
In this paper, we define the fractional quaternion Fourier transform based on reduced biquaternion algebra.
介绍了分数阶傅里叶变换的原理及其对线性调频信号的处理优势。
Principle of fractional Fourier transform (FRFT) and alternation to that linear modulate frequency (LMF) treatment advantage were introduced.
分数阶边值问题被广泛应用于各种领域，而只有正解才有实际意义。
Fractional boundary value problem has come into a wider use in many fields and is of practical value only after positive solution occurs.
摘要：提出一种基于混沌映射和分数阶傅里叶变换的数字水印算法。
Absrtact: a digital watermarking algorithm is proposed based on chaotic map and fractional Fourier transform.
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。
At the same time, it overcomes the shift of the edge using fractional order differentiation directly.
我们提出一种计算有效的分数阶预估-校正方法，导出了其误差估计。
A computationally effective fractional Predictor-Corrector method is proposed, and a detailed error analysis is derived.
主要讨论了一种将加紧支撑窗与分数阶傅里叶变换相结合的信号处理方法。
A new method that USES the tight support window signal together with the fractional Fourier transform (FRFT) is discussed.
通过分析系统不动点的稳定性，得到分数阶微分系统存在混沌的解析条件。
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。
In this paper, We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.
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。
Absrtact: The calculation work of solving a fractional order differential system is huge since it relating to history.
从分数阶微分对图像细微细节的增强能力出发，对分数阶微分的机理进行分析。
Starting from the enhanced ability of fractional differential to image details, the authors analyzed the mechanism of fractional differential.
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。
A novel fuzzy fractional order proportional integral derivative (FFPID) controller based on fractional calculus is presented.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
针对低信噪比下多个多项式相位信号提出了一种基于短时分数阶滤波的时频检测方法。
A method for multi-polynomial phase signals (PPS) detection in low signal to noise condition is proposed.
鉴于整数阶控制系统主要进行正频域分析，本文论述了分数阶控制系统的扩展频域方法。
Considering the integer-order systems analysis is happened only in positive frequency domain, this paper is concerned about the extended frequency analysis method for fractional-order control systems.
本文研究了整数阶混沌系统和分数阶混沌系统的同步控制以及它们在保密通信中的应用。
This dissertation has researched on the synchronization control of chaotic system and the fractional-order chaotic system and its application in secure communication.
在分数阶微积分的理论框架下，将分形动力学的机制引入到生物黏弹性本构方程的研究中。
Within the framework of the fractional calculus theory, the mechanism of fractal dynamics is introduced to the constitutive equation research of viscoelastic materials.
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。
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。
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.
应用推荐