应数学与统计学院邀请, 马其顿科学与艺术学院Trifce Sandev教授于2025年5月9日至5月12日访问兰州大学, 期间将举办专题学术报告.

报告题目：The History of Fractional Calculus: From Paradoxa to Powerful Mathematical Theory

时 间：2025年5月10日(星期六)10:30

地 点：理工楼 631

报告摘要：In 1695 Leibniz wrote a letter to L'Hôpital in which the following question was raised: "Can the meaning of derivatives with integer order be generalized to derivatives with non-integer orders?" Then L'Hôpital replied to Leibniz by another question: "What if the order will be?" On 30 September 1695, Leibniz replied: "It will lead to a paradox, from which one day useful consequences will be drawn." This date is taken as a birthday of the fractional calculus. Many famous mathematicians (Euler, Leibniz, Liouville, Fourier, Riemann, Grünwald, Letnikov, Weyl, Riesz, to name but a few) worked on and contributed to the theory of fractional calculus. The first physical problem in which such new calculus appears is the generalized tautochrone problem of Abel in 1823. This new calculus required new functions, such as the gamma function, Mittag-Leffler function, Fox H-function, to resolve the mathematical paradoxa, as well as to represent the solutions of differential equations of fractional order in an exact form. Nowadays the theory of fractional calculus is a powerful mathematical theory which can be used to describe various phenomena in complex systems, from fluctuations and anomalous dynamics, systems with memory and long-range correlations, to optimal search strategies in physics, computer science, biology and robotics, such those widely observed in animal foraging and human mobility, in reaction pathways in DNA-binding proteins, in intracellular transport, etc.

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报告人简介

Trifce Sandev is a research scientist at the Macedonian Academy of Sciences and Arts in Skopje - Macedonia, Associate Professor in Theoretical Physics at the Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje - Macedonia, and Adjunct Professor of the Department of Physics at Korea University in Seoul - Republic of Korea. His scientific research has been supported by the Macedonian Government, the German Science Foundation (DFG), Alexander von Humboldt Foundation and the Alliance of National and International Science Organizations (ANSO). His scientific interests include statistical mechanics, mathematical physics and applied mathematics, particularly stochastic processes in complex systems, anomalous diffusion, random search and stochastic resetting. He has authored two books published by Springer and World Scientific, and has published more than 100 journal articles. According to Google Scholar his work has been cited more than 3300 times. Trifce Sandev appeared on the Stanford University's lists of World's Top 2% Scientist in all fields of science in a single year.

数学与统计学院

萃英学院

2025年5月8日