Professor Zeng Fanhai is mainly engaged in the research on the theory and applications of fractional calculus. He is one of the early scholars in the field of fractional calculus at home and abroad. He has made a series of achievements in the fields of fractional calculus modeling, calculation and applications. Dr. Zeng Fanhai graduated from Shanghai University in 2014, majoring in computational mathematics, After that, he studied in the Department of Applied Mathematics of Brown University (co Supervisor: Professor George EM karniadakis), Applied Mathematics Department of Queensland University of science and technology of Australia (co Tutor: Professor Ian Turner and Professor Kevin burrage) and Department of mathematics of National University of Singapore (co Tutor: Professor Bao Weizhu), He has published more than 30 papers in the top journals of computational mathematics and applied mathematics, SIAM J. Numer. Anal., SIAM J. Sci. Comput., J. Sci. Comput., Comput. Methods Appl. Mech. Engrg. and J. Compute. Phys. He co published a monograph in 2015, and won the Shanghai Excellent Doctoral Dissertation award in 2016. His papers have SCI cited more than 700 times and more than 170 citations in a single paper, The achievements have been cited and positively evaluated by well-known scholars at home and abroad, including Professor Jan Hesthaven, editor in chief of SIAM J. Sci. Comput., Professor Wu Guobao, winner of Fengkang Scientific Computing Award, etc. At present, the research fields include spectral method and its applications, fractional calculus theory, numerical algorithms and its applications, as well as the theory and applications of stochastic model and machine learning.

Fractional calculus team

Based on the fractional calculus theory, numerical calculation theory and machine learning, fractional calculus team established mathematical models of complex media, developed new numerical algorithms and theories based on fractional operators, and applied them to fluid mechanics, quantum mechanics, etc. In recent years, the team has systematically established the theoretical framework of fractional calculus and studied the mechanical mechanism of anomalous phenomena in mass transport, energy diffusion and momentum transfer. A series of innovative achievements have been made in the field of complex medium fractional equation modeling, analytical and numerical calculation, parameter identification and so on. The achievement was awarded one second prize of Natural Science of Shandong Province.