查询词典 fractional equation

The mathematical equation of dependence of anolyte volume on fractional conversion, the expression of reaction rate, and the macro-kinetic model were established, and the macro-kinetic parameters were calculated.

建立了阳极液体积随转化率变化的数学方程、反应速率表达式和宏观动力学模型，确定了宏观动力学参数。

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

The characteristic of fractional order differential equation iscontaining the non-integer order derivative. It can effectively describe the memory andtransmissibility of many kinds of material, and plays an increasingly important role inengineering, physics, finance, hydrology and other fields.

分数阶微分方程的特点是含有非整数阶导数，能非常有效的描述各种各样的物质的记忆和遗传性质，在工程，物理，金融，水文等领域发挥越来越重要的作用。

Space fractional differential equation ; finite difference approximation ; stability ; convergence

空间分数阶微分方程；显式有限差分格式；隐式有限差分格式；稳定性分析；收敛性分析

This paper is discussed the existence of solution for nonlinear boundary value problem of fractional differential equation which with a parameter.

本论文讨论了一类含有参数的非线性分数阶微分方程解之间的关系，写出了线性分数阶微分方程解的表达式。

The weather and climate comply with the fluid dynamical equation and appear stochastic. In order to explore the relationship between weather and climate, the fractional derivative and integration are introduced. Physically, the stochastic degrees of weather and climate are different.

天气和气候虽然遵从流体力学规律，但是却显示出随机性，研究天气和气候之间的关系必须引入分数阶的导数和积分，从物理上讲不外乎说明天气和气候的随机程度是不相同的。

Using difference method, the first-order and the second-order differential equations of fractional derivative can become the first-order ordinary differential equation, and the high precision direct integration can be used for the solution.

所论方法首先引入差分格式，将含有分数阶导数的一阶和二阶微分方程变为一阶的常微分方程，然后再用精细积分方法逐步积分进行求解。

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

In the third chapter,the Lévy-Feller advection-dispersion equation describing anomalous diffusion,with asymmetric fractional derivative,is considered.

更多程不同的是，在三维情形中，分数阶导数的复杂性使得在构造差分格式时所添加的摄动项也非常复杂，由此所构造差分格式的理论分析也变得比较复杂。

Recently, this method is used successfully to discuss the existence of the positive solution to boundary value problem of nonlinear fractional differential equation.

近来此方法被应用于讨论分数阶微分方程边值问题正解的存在性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。