活动时间：2026-05-14 10:00
活动地点：二号学院楼452会议室
主讲人：李程宽 (Chenkuan Li)
主讲人简介：
李程宽博士，加拿大 Brandon 大学数学与计算机科学系教授，研究方向包括分布理论、广义积分变换、分数阶分析以及非线性微分方程，已在 Proceedings of the American Mathematical Society、Canadian Journal of Mathematics、Fractional Calculus and Applied Analysis 等国际知名学术期刊上发表论文 120 余篇。他的研究多年来受到加拿大自然科学与工程研究委员会 (NSERC) 的资助。此外，他于 2015 年获得 Brandon 大学 Senate Award for Excellence in Research，并于 2016 年获得 Senate Award for Excellence in Teaching，成为该校历史上第三位同时获得这两项荣誉的人。
内容摘要：
The nonlinear Bagley–Torvik equation is of fundamental importance, as it captures a realistic and intricate interplay among memory effects, nonlinearity, and functional dependence—making it a powerful model for a wide range of natural and engineered systems. Its analysis contributes significantly to both the theoretical development of fractional differential equations and their practical applications across science and technology. In this talk, we employ the inverse operator method, the multivariate Mittag-Leffler function, and several classical fixed-point theorems to establish sufficient conditions for the existence, uniqueness, and Hyers–Ulam stability of solutions to the nonlinear Bagley–Torvik equation with functional initial conditions. Finally, we present several examples by explicitly computing values of the multivariate Mittag-Leffler functions to illustrate the main results.
主持人：罗旻杰