论文标题
用单数源项求解时间分数扩散方程
Solving time-fractional diffusion equations with singular source term
论文作者
论文摘要
本文涉及时间相关的奇异源术语的时间分数扩散方程。每当时间级衍生物的顺序是多项，分布式或依赖空间的阶数时，我们就会证明，只要源术语的时间依赖性是分布，系统就会允许享受Duhamel表示的独特弱解决方案。
This article deals with time-fractional diffusion equations with time-dependent singular source term. Whenever the order of the time-fractional derivative is either multi-term, distributed or space-dependent, we prove that the system admits a unique weak solution enjoying a Duhamel representation, provided that the time-dependence of the source term is a distribution.
