汇报标题 (Title):Fractional differential equations: analysis and numerics (分数阶微分方程:分析与数值推算)
汇报人 (Speaker):闫玉斌 教授(University of Chester, UK)
汇报功夫 (Time):2023年11月6日(周一) 15:30
汇报地址 (Place):腾讯会议(930 555 060)
约请人(Inviter):李常品、蔡敏
主办部门:理学院数学系
汇报提要: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.