報告題目：Existence of solutions to the Cauchy problems for fractional evolution equations
報告時間：2022年10月21日（星期五），15:00-15:40.
報告地點：騰訊會議140 635 738
內(nèi)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.
報告人簡介：何家維，博士，碩士生導(dǎo)師，現(xiàn)任職于廣西大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院，主要從事分?jǐn)?shù)階微分方程理論及其相關(guān)研究，先后在《J. Comput. Appl. Math.》、《Proc. Roy. Soc. Edinburgh Sect. A》、《Monatsh.Math.》、《 Fract. Calc. Appl. Anal.》、《 Adv. Nonlinear Anal.》等國內(nèi)外權(quán)威期刊上發(fā)表學(xué)術(shù)論文10多篇，主持國家自然科學(xué)基金項目1項，廣西自然科學(xué)基金項目1項。
