Lecturer: Wu Guocheng

Abstract:

After review of the definition of classical Riemann-Liouville derivative, the delta differential equation method covering several common fractional integral forms is proposed to define the generalized fractional integral in combination withn-fold integral. Through the boundedness theorem of a fractional integral, the mathematical constraints of a generalized kernel function are given; According to the classical random walk theory, the report provides the physical explanation of a generalized fractional derivative. At the end of the report, the prediction and correction algorithm of fractional differential equations is studied, the convergence and convergence order of the numerical format when the fractional order is 2 to 3 are discussed, and the rationality of the definition of generalized fractional derivative and the feasibility of numerical calculation are explained.

Introduction to the Lecturer:

Wu Guocheng is from Dongtai, Jiangsu. As a post-doctoral alumnus in civil engineering at Sichuan University and in applied mathematics at Southwest University and a winner of the Sichuan Outstanding Youth Fund, Wu Guocheng is now the Director of Data Recovery Key Laboratory of Sichuan Province of Neijiang Normal University. With personal research interests including fractional difference equations and mathematical foundation of artificial intelligence, Wu Guocheng has presided over 5 projects above the provincial and ministerial level, and is currently working as an editorial board member for periodicals including Appl. Math. Comput. and Nonlinear Dynamics.

Invited by:

Jiang Xiaoyun, Professor from School of Mathematics

Time:

15:00, May 29 (Sunday)

Venue:

Tencent Meeting

Contact: Liu Yi; e-mail: ytwzly@mail.sdu.edu.cn

Sponsored by: School of Mathematics, Shandong University