报告题目 (Title):Fractional differential equations: analysis and numerics (分数阶微分方程:分析与数值计算)
报告人 (Speaker):闫玉斌 教授(University of Chester, UK)
报告时间 (Time):2023年11月6日(周一) 15:30
报告地点 (Place):腾讯会议(930 555 060)
邀请人(Inviter):李常品、蔡敏
主办部门:永利数学系
报告摘要:Fractional differential equations have found extensive applications in modeling various physical, biological, and engineering phenomena, owing to their nonlocal characteristics. Theoretical and numerical analysis of fractional differential equations presents a substantial challenge. In this presentation, I will introduce two fundamental types of nonlinear fractional differential equations: Riemann-Liouville and Caputo fractional differential equations. Additionally, I will discuss two prominent numerical methods for their solution: the Predictor-Corrector Method and the L1 method.