讲座主题：Nonlocal nonlinear dynamic systems and inversion of fractional order based on ADM method

专家姓名：李功胜

工作单位：山东理工大学

讲座时间：2026年10月16日 15:10-16:20

讲座地点：腾讯会议：166-327-656

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, we firstly introduce several nonlocal nonlinear differential systems and the Adomian decomposition method (ADM in short). Next, we give a global convergence of the ADM algorithm by analysis of Gamma function and Adomian polynomials, and deduce computable expression of the asymptotic solution by numerical analysis. Thirdly, we discuss identification of order of the fractional derivative in the model by using one observation of the solution, and a uniqueness is proved based on the asymptotic solution, and several examples, including nonlinear epidemic system and Fisher equation, are presented. Finally, some remarks and conclusion are given for further work in biomedical sciences.

主讲人介绍：

李功胜，山东理工大学教授、博导，山东省数学会计算数学专委会委员，高等教育学会教育数学专委会常务理事等；曾任中国工业与应用数学学会第七届、第八届理事会理事。主要从事数学物理反问题、反常扩散问题与反演算法及其应用研究，主持完成国家自然科学基金项目5项、山东省自然科学基金项目3项，在《Inverse Probl》《Fract Calc Appl Anal》《J Comput Math》等期刊发表学术论文80余篇，在科学出版社出版专著1部，获得山东省科技进步二等奖1项、山东省教学成果二等奖2项。