The Fix Points of Solutions and Their Derivatives of A Differential Equations fractional differentiation 一类微分方程解的某些导数的不动点分数微分(法),分数次微分
The fractional calculus-fractional differentiation and fractional integration are widely paid attention in many fields in recent years. 分数计算&分数阶微分与分数阶积分受到众多领域的广泛关注。
Fractional differentiation solution of stokes 'first problem Stokes第一问题的分数阶导数解
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。
A brief survey on fractional differentiation and integration is given, some basic concepts of the fractional calculus and some typical definitions of the fractional derivative are reviewed. 首先论述分数阶微积分的基本概念,评论分数阶导数的几种典型定义,并重点探讨分数阶导数的频域定义及其基本性质。
Fractional Order Differentiation of Periodical Signals 常用周期信号的分数阶微分运算
The capabilities of the fractional differential approach for enhancing textural features of two-dimensional digital images, involved Lateral Inhibition Principle, the multiform covering templates and algorithms of digital image's fractional differentiation were discussed. 为了系统论述图像分数阶微分对纹理细节的增强能力及其侧抑制原理,提出数字图像分数阶微分掩模及其运算规则。
The fractional integral function, fractional differential function and their fundamental properties are studied in this paper. Based on the above properties, the fractional integration and fractional differentiation of a Weierstrass function are further discussed. 研究了分数阶积分函数与微分函数及其基本性质,在此基础上讨论了一类Weierstrass分形函数的分数阶积分和分数阶微分。
DIGITAL SIMULATION OF VOLATILE EVOLUTION DURING FRACTIONAL CRYSTALLIZATION AND ITS SIGNIFICANCE ( 2) It contributed to magmatic crystallization differentiation and the concentration of silver in the quartz porphyry magma; 岩浆结晶分异过程中挥发组分演化的计算模拟及其意义②有助于岩浆的结晶分异并导致银在石英斑岩(浆)中的富集;
The relationship between the fractional Fourier power spectrum and signal's phase differentiation operation are considered. A novel method for solving the instantaneous frequency estimation problem from only intensity distributions and the fractional Fourier spectrum is proposed. 通过分析分数阶Fourier变换功率谱与信号相位微分的关系,提出了根据信号密度分布和分数阶Fourier谱估计信号瞬时频率的方法。
The research shows that the formation of two different evolutional trends is related to the types and proportion of fractional phases during magma crystallization differentiation. 研究表明这两种演化趋势的形成与岩浆结晶分离矿物相的种类及其比例有关。
And it was found that the new fractional models are more suitable for modeling systems than the ordinary models. The advantage of fractional differentiation is more and more obvious. 并发现新的分数阶模型比以往的整数阶模型更适合对系统进行建模,分数阶微分的优势体现的越来越明显。
The fractional calculus is a subject of integration and differentiation to an arbitrary order, and it reflects the gradual changes of integral and differential order, so it is flexible. 分数微积分是一门求任意阶次导数和积分的学科,从本质上反映出积分、微分阶次渐变的过程,因此具有很强的灵活性。