1) real number order calculus
实数阶微积分
1.
This paper proceed from the definition of real number order differential quotient, and gave a new definition from the angle of inverse operation, and formed some relation formula of real number order calculus and regular integers order calculus, and made it more systematic and more perfect.
文章从实数阶导数的定义出发,从逆运算的角度给出了实数阶积分的新定义,并建立了实数阶微积分与正整数阶微积分的一些关系式,使之更加系统和完善。
2) fractional calculus
分数阶微积分
1.
Expressions of fractional calculus for the complex modulus and complex compliance of viscoelastic materials;
黏弹性材料复模量和复柔量的分数阶微积分表述
2.
Venant model with integer order was generalized by applying the Riemann\|Liouville fractional calculus operators and its theory.
利用Riemann_Liouville的分数阶微积分算子及理论 ,将标准的整数阶St。
3.
A soft-matter element and its constitutive equations were presented by employing the Riemann-Liouville fractional calculus operator theory.
分数阶微积分被发现是一个解决力学建模难题的有力数学工具,利用Riemann-Liouville的分数阶微积分算子及理论,给出一种软体元件及其本构方程,用来模拟介于理想固体和流体之间的土体。
3) Fractional order calculus
分数阶微积分
1.
In order to solve the strong non-linearity and low damping of pneumatic position servo system,a novel fractional order control strategy based on fractional order calculus is presented.
针对气动位置伺服控制系统的弱阻尼、强非线性等问题,提出一种基于分数阶微积分的分数阶控制策略。
2.
The best advantage of the method is that it can solve the complex fractional order calculus equation which can hardly be answered by the general calculus knowledge.
针对在实际情况中应用越来越广泛的分数阶微积分系统,提出了分数阶微积分方程的框图求解法。
3.
So far, a great achievement has been attained in fractional order calculus, which provides the new theory foundation for the development of fractional order calculus in other subjects.
分数阶微积分是数学研究领域中的一个新兴领域,是传统整数阶微积分理论的扩展。
4) partial fractional calculus
分数阶偏微积分
5) Fractional-order calculus(FOC)
分数阶微积分(FOC)
6) non-integral-order calculus
非整数阶微积分
1.
This paper, with the help of Fourier Transform and digital signal processing, explores the numerical computation(NC) of calculus based on FFT and error analysis,which is popularized to the NC of non-integral-order calculus.
利用Fourier变换、数字信号处理理论探讨了微积分的FFT算法及误差分析,并将其推广到非整数阶微积分的数值计算。
补充资料:分数阶积分与微分
分数阶积分与微分
og fractional integration and differentia-
分数阶积分的逆运算称为分数阶微分:若几介F,则f为F的:阶分数阶导数(na ctional deriVative).若0<戊
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条