报告题目 (Title)：Do Caputo-derivative initial-value problems have unique solutions? (Caputo导数型初值问题是否存在唯一解？)
报告人 (Speaker)： Martin Stynes 教授（北京计算科学研究中心）
报告时间 (Time)：2021年10月20日(周三) 10:00
报告地点 (Place)：校本部G507
邀请人(Inviter)：李常品
主办部门：理学院数学系
报告摘要：Initial-value problems (IVPs) with Caputo fractional derivatives are often used in recent applied models. Many recent papers assert that under a certain Lipschitz condition each such IVP has a unique solution, but we show by a simple counterexample that this statement is not true. Furthermore, it is frequently asserted that the IVP is equivalent to an associated Volterra integral equation, but our counterexample shows this also to be false in general. Finally, we prove that both these failings can be corrected by imposing a natural regularity condition on the solution of the IVP.
