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博士论坛第十九期:Caputo-Hadamard fractional differential equations: analysis and computation

发表时间:2019-08-13 20:13:29       浏览次数:320       作者:刘扬


报告人: 李常品 教授

报告时间: 2019年8月16日9:00

报告地点: 数学与统计学院B304

报告题目:Caputo-Hadamard fractional differential equations: analysis and computation  

报告摘要:In this talk, the existence and uniqueness of solution to Caputo-Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too. Then, Euler and predictor-corrector methods are built up to solve this kind of FDEs. The stability and error analysis of the derived numerical schemes are investigated as well. At last, a numerical example is carried out to verify the numerical algorithm.

报告人简介:李常品,上海大学理学院教授、博士生导师,其主要研究方向为分数阶偏微分方程数值解等。在World Scientific编辑专著一部,在Chapman and Hall/CRC出版专著一部。他现任Applied Numerical Mathematics、Journal of Nonlinear Science等杂志编委,任德国德古意特系列丛书“应用科学和工程中的分数阶微积分”主编(Editor-in-chief and founding editor of the book series: Fractional Calculus in Applied Sciences and Engineering, De Gruyter, Germany), 两次获上海市自然科学奖(2010、2017)、上海市优秀博士学位论文指导教师(2016)、获分数阶微积分领域的黎曼-刘维尔理论文章奖(2012)、获宝钢优秀教师奖(2011)。