报告题目:Time-fractional differential equations
报告人:Adam Kubica(华沙理工大学)
报告时间:2020年12月2日18时00分
腾讯会议号:368159540
邀请人:程星
报告摘要:
At the beginning I will present an abstract approach to fractional integration and the Riemann-Liouville fractional derivative. Next, I will focus on some fractional PDE and present the results concerning its solvability. I will also consider the problems containing the distributed-order Caputo derivative and study a decay of solution. Finally, I would like to introduce the fractional Stefan problem and show some special solution to this problem.
报告人简介:
Adam Kubica副教授,目前在华沙理工大学任教。他于2009年获得博士学位。至今为止,已经完成17篇SCI论文,专著1本。他有着非常深厚的分析功底,为分数阶微分方程理论的完备化作出了突出贡献。特别地,最近他与合作者山本昌宏教授致力于分数阶微分算子定义的严格化,这个是分数阶微分方程所有研究工作的理论保证。他们以分数阶索伯列夫空间为基础,提出了经典分数阶导数在分数阶索伯列夫空间下的推广形式,进而解决了分数阶微分方程解的存在唯一性及正则性估计等一系列问题。