有界区域上的瞬态反常次扩散
Transient anomalous sub-diffusion on bounded domains
摘要:
研究了有界区域上回火分数阶扩散方程的强解和随机解。首先解决了调和分数阶导数的本征值问题。然后,分离变量,并在时间和空间的特征函数展开,被用来写强解。最后,随机解被写在逆从属。
英文摘要:
This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractional derivatives is solved. Then a separation of variables, and eigenfunction expansions in time and space, are used to write strong solutions. Finally, stochastic solutions are written in terms of an inverse subordinator.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。