Multi-term time-fractional differential equations have been used for describing important physical phenomena. However, studies of the multi-term time-fractional partial differential equations with three kinds of nonhomogeneous boundary conditions are still limited.ududIn this paper, a method of separating variables is used to solve the multi-term time-fractional diffusion-wave equation and the multi-term time-fractional diffusion equation in a finite domain. In the two equations, the time-fractional derivative is defined in the Caputo sense. We discuss and derive the analytical solutions of the two equations with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin conditions, respectively.
展开▼
机译：多项式时间分数微分方程已用于描述重要的物理现象。但是，对于具有三种非齐次边界条件的多项时间分数阶偏微分方程的研究仍然受到限制。 ud ud本文采用一种分离变量的方法来求解多项时间分数维扩散-有限域中的波动方程和多项式时间分数扩散方程。在两个方程式中，时间分数导数定义为Caputo。我们讨论并推导了分别具有Dirichlet，Neumann和Robin条件三种非均匀边界条件的两个方程的解析解。
展开▼
