Fractional nonlinear convection-diffusion equation with external forces is given.
建立了含有外力的分数阶非线性对流-扩散方程。
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.
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。
Within the framework of the fractional calculus theory, the mechanism of fractal dynamics is introduced to the constitutive equation research of viscoelastic materials.
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。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
In this paper, an one-dimensional fractional percolation equation with variable coefficients is considered.
考虑一个含有变系数的一维分数阶渗透方程。
The solution of this fractional order advection-dispersion equation is fractional stable probability distribution density with four parameters.
此方程的柯西问题的格林函数解是一分数稳定分布密度函数。
In this paper, we discuss the method of Alternating Group Explicit (AGE) for solving 2-d parabolic equation, and give out the results of AGE method comparing with several fractional step methods.
本文讨论了解抛物型方程的分组显式(age)方法，给出了该法和几种分数步长法的实验模型的数值比较结果。
Combining fractional order differential theory with total variation method, a new image denoising model was proposed, which was based on fractional Partial Differential Equation (PDE).
将分数阶微分理论和全变分方法相结合应用于图像去噪，提出了一种基于分数阶偏微分方程的图像去噪新模型。
The method of fractional steps is used to split vertical 2-D suspended sediment transport equation. Then two different computation schemes are presented.
利用空间概念上的分步法，对剖面二维悬移质泥沙输移方程，提出两种不同的计算格式。
Backward Stochastic Differential Equation (BSDE), Fractional Brownian Motion and Its Applications, Stochastic Control, etc.
倒向随机微分方程，分数布朗运动及其应用，随机控制等。
In chapter 4, Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained.
在第4章，同伦摄动的方法被成功应用到求解带有一个可动边条件的时间分数阶扩散方程并且得到了一个近似解。
In chapter 4, Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained.
在第4章，同伦摄动的方法被成功应用到求解带有一个可动边条件的时间分数阶扩散方程并且得到了一个近似解。
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