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- The very basic concepts regarding fractional order calculus were addressed and a numerical method for solution of the fractional order differential equations were determined. 分数阶微积分理论、分数阶微分方程理论以及数值解法是分数阶控制理论的基础性内容,为分数阶控制理论以及实际的应用提供了重要的理论基础。
- In order to improve the accuracy of fractional order differentiator, a hybrid genetic algorithm was applied to design fractional order differentiator. 摘要为了进一步提高分数阶微分器的精度，将遗传算法引入到滤波设计中，获得了性能更加优越的分数阶微分器。
- Fractional Order Differentiation of Periodical Signals 常用周期信号的分数阶微分运算
- Digital Implementation of Fractional Order Differentiators and Its Order Influence on Choice of Methods 分数阶微分器的实现及其阶次对方法选择的影响
- Numerical solution of second order differential equations. 二阶微分方程的数值解。
- differential equations of fractional order 分数阶偏微分方程
- The state-space representation and the transfer function representation of fractional order linear time-invariant systems are introduced. 摘要介绍了分数阶线性定常系统的状态方程描述和传递函数描述。
- Internal and external stability conditions for fractional order linear time-invariant systems are given using Laplace transform and residue theorem. 运用拉普拉斯变换和留数定理，给出并证明了分数阶线性定常系统的内部和外部稳定性条件，并讨论了其相互关系。
- The stability condition and the beam waist position for a resonator a re described by the fractional order. 其稳定条件和束腰位置可用分数阶次描述，分数阶次可为复数。
- Wang Gengqiang,Oscillations of second order differential equations withimpulses,Ann.of Diff.Eqs.229 (1997),295-306. 宋常修.;二阶非线性脉冲微分方程的振动性;华南师范大学学报
- Undetermined coefficients and variation of parameters for second and higher order differential equations. 二阶与高阶齐次与非齐次微分方程式的解法；
- Defines the factional order calculus and clarifies its basic characteristics because the fractional order systems have been used much wider than before in application. 摘要针对在实际情况中应用越来越广泛的分数阶微积分系统，首先介绍了分数阶微积分定义及其基本性质。
- The thermokinetics of the reaction between silver perchlorate and methylidide has ben studiedby the methods of dimensionless paramenter of fractional order reactions. 本文以量热法研究了高氯酸银与碘甲烷反应的热动力学，直接验证了分数级反应无量纲参数法原理的正确性。
- In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems. 摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
- The synchronizations of two uncoupled integral and fractional order chaotic modified heartbeat systems are accomplished by parameter excited synchronization. 另外经由参数激发法使得两个非耦合的整数阶或分数阶变革式心搏系统达到同步。
- Two-point boundary value problem subject to nonlinear second order differential equation is applied in engineer and technology science. 摘要非线性常微分方程边值问题是微分方程研究领域中一个较为实际，其发展也较为活跃的一个分支。
- The state-space representation of linear time-invariant (LTI) fractional order systems is introduced, and a proof of their stability theory is also given. 摘要介绍了分数阶线性定常系统的状态方程描述，并给出了其稳定性定理的一个证明。
- FRT with different fractional order along the different direction can be realized using this HOE.The condition to realising FRT using this HOE is discussed. 用此元件实现了在不同方向上具有不同阶的变形分数傅里叶变换，讨论了用全息元件实现这种变换的条件。
- A set of sufficient conditions for the solvability of two point boundary value problems at resonance of a class of nonlinear second order differential system are given. 给出了一类非线性二阶微分系统两点边值共振问题可解的一组充分条件。
- This paper describes a new method for determination of xanthine (Xa) at a poly (acridine orange)(POAO)modified electrode by 2.5th order differential voltammetry. 报道了聚吖啶橙 (POAO)修饰电极多阶半微分伏安法测定黄嘌呤 (Xa)。
