报告题目：Existence of solutions to the Cauchy problems for fractional evolution equations

报告时间：2022年10月21日（星期五），15:00-15:40.

报告地点：腾讯会议140 635 738

内容摘要：In this talk, we consider two Cauchy problems for autonomous fractional evolution equations and non-autonomous fractional evolution equations of order alpha in (1,2). We show the solution representations to relative problems, we find that the solution representation of the autonomous case can use the cosine and sine functions to discuss,  while the case of non-autonomous is determined by the Mittag-Leffler functions and the resolvent of sectorial operator. We also discuss the existence results of solutions to the Cauchy problems. This is a joint work with Prof. Yong Zhou in Xiangtan University.

报告人简介：何家维，博士，硕士生导师，现任职于广西大学数学与信息科学学院，主要从事分数阶微分方程理论及其相关研究，先后在《J. Comput. Appl. Math.》、《Proc. Roy. Soc. Edinburgh Sect. A》、《Monatsh.Math.》、《 Fract. Calc. Appl. Anal.》、《 Adv. Nonlinear Anal.》等国内外权威期刊上发表学术论文10多篇，主持国家自然科学基金项目1项，广西自然科学基金项目1项。