论文标题
具有时间依赖系数的时间分数扩散波方程的初始限值问题的适合性
Well-posedness of initial-boundary value problem for time-fractional diffusion-wave equation with time-dependent coefficients
论文作者
论文摘要
我们考虑了在（1,2]中的分数顺序的时间分数部分差分方程的初始界值问题（1,2]的情况下。对于时间相关系数的情况，很难通过特定函数扩展方法来实现时间和时间的唯一范围，我们首先要出现独特的情况，我们很难通过eigenfunction膨胀方法提供明确的解决方案公式。普通微分方程。
We consider the well-posedness of the initial-boundary value problem for a time-fractional partial differential equation with the fractional order lying in (1,2]. For the case of time-dependent coefficients, it is difficult to give an explicit solution formula by the eigenfunction expansion method. In order to deal with the case of time-varying coefficients, we first show the unique existence and regularity of solution to a system of time-fractional ordinary differential equations. Then the unique existence of the weak solution to the time-fractional partial differential equation and improved regularity are derived by using the Galerkin method.
