学术报告20260513：Fractional sub-equation neural networks (fSENNs) method for exact solutions of fractional partial differential equations

报告人：刘艳芹 教授 德州学院

报告题目：Fractional sub-equation neural networks (fSENNs) method for exact solutions of fractional partial differential equations

摘 要：The fSENNs embed the solutions of the fractional Riccati equation into neural networks (NNs). The NNs are a multi-layer computational models that are composed of weights and activation functions between neurons in the input, hidden, and output layers. In fSENNs, every neuron of the first hidden layer is assigned to the solutions of the fractional Riccati equation. In this way, the new trial functions are obtained. The exact solutions of fPDEs can be obtained by fSENNs, and generalized fractional hyperbolic function solutions, generalized fractional trigonometric function solutions, and generalized fractional rational solutions are obtained. Since the fractional sub-equation is applied to the NNs model for the first time, more and new solutions can be obtained.

报告人简介：刘艳芹，教授，博士（后），山东省教学名师。现任德州学院数学与大数据学院院长。主讲《数学分析》，获国家线上线下混合式一流课程，山东省课程思政示范课，获山东省教学成果奖一等奖，探索数学应用型人才的培养。主持国家自然科学基金1项，省自然科学基金3项，全国重点实验室基金1项等；发表SCI学术论文40余篇，荣获山东省高校科学技术奖三等奖2项，德州市自然科学优秀学术成果一等奖3项等。

报告时间：2026年5月13日，9:00--12:00

报告地点：腾讯会议（会议号：256-863-535）

欢迎广大师生参加！

内蒙古大学数学科学学院

2026年5月8日