报告主题：Morrey空间上的黎曼-刘维尔分数阶微积分及其应用
报告人：傅尊伟 教授 （临沂大学）
报告时间：2018年 1月22日（周一）9：00
报告地点：校本部G507
邀请人：赵发友
报告摘要：In this talk, we shall introduce the boundedness and compactness of Riemann-Liouville integral operators on the so-called Morrey spaces which are nonseparable spaces. There are no approximation or contractive skills in this kind of spaces. Moreover, unlike the use of dual or maximal point of view in integrable function spaces, the idea of our proof proceeds from the compactness of the truncated Riemann-Liouville fractional integrals by using a criterion for strongly pre-compact set. Constructing a truncated Marchaud fractional derivative function, we show the characterization of the solution to Abel's equation in Morrey spaces. With the aid of fixed-point theorem, we establish the existence and uniqueness of solutions to a Cauchy type problem for fractional differential equations. We also give an example to illustrate the sufficiency of the conditions in our main result.
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