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The second kind of parabolic differential equation,multi-dimensional fractional equation,is generalized from the seepage flow.

遗憾的是,大多数分数阶微分方程的解析解都含有复杂的级数或者特殊函数,不利于进行近似计算。

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。

Through building Simulink model, the numerical solution of fractional order nonlinear calculus equation can be obtained directly.

通过Simulink搭建仿真框图,可以直接求出分数阶非线性微积分方程的数值解析解。

Finally, the solution formula of the semiboundless mixed problem of the fractional diffusion equation is obtained.

最后得到分数阶扩散方程半无界混合问题的求解公式。

Second, based on the proposed weak formulation, we investigate the numerical solutionsof the time fractional diffusion equation.

基于上述弱解理论,我们计算时间分数阶扩散方程的数值解。

The method is completely fit for the fractional order linear calculus equation.

用仿真实例进一步演示了该方法的简洁、有效,可以解决任意的分数阶微积分方程的求解问题。

The semiboundless mixed problem of the fractional diffusion equation with the third kind nonhomogeneous boundary condition is studied.

研究了一维半无界分数阶扩散方程具有第三类非齐次边条件的混合问题。

These results also indi- cated the validity of the generalized constitutive equation with fractional order.

这同时也从另一个侧面证明了第二章给出的广义分数阶连续介质本构方程的正确性。

According the connection between the solution of linear fractional differential equation and nonlinear fractional differential equation, the expression of the solution of the nonlinear fractional differential equation is formed.

在一定的条件下,建立了非线性分数阶微分方程在边值条件下有解存在。

Third, we consider the fractional Nernst-Planck equation, which describes theanomalous diffusion in the movement of the ions in neuronal system.

我们考察用以描述神经细胞中离子反常扩散现象的分数阶Nernst-Planck方程。

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