Jiang Xiaoyun, a second-class professor in the school of mathematics of Shandong University, a distinguished professor of Shandong University, the leader of the national "Ten Thousand Talents Program" (a famous teacher), a National Model of Women, a member of the national non-Newtonian Fluid Mechanics Committee and a leader of the national key discipline "Applied Mathematics" of Shandong University. She served as co-chair of the local organization committee at the Fifth International Conference on fractional theory and applications, and served as a member of the program committee at the Sixth International Conference on fractional theory and applications. She made an invitation report at the first Sino German bilateral conference on fractional calculus. She has won one second prize of Natural Science Award of Shandong Province (first place, 2016), one second prize of National Teaching Achievement Award (first place, 2018), presided over one major research plan / cultivation project of National Natural Science Foundation of China, and presided over three general projects of National Natural Science Foundation of China. She is a leading talent (Teaching Master) evaluation expert of the "Ten Thousand Talents Program", a Yangtze River scholar of the Ministry of education and a communication evaluation expert of the National Natural Science Foundation of China. She is a reviewer of many journals in Springer, Elsevier and other databases. She is one of the earliest scholars engaged in the research of fractional calculus theory and applications, non-Newtonian fluid mechanics and other fields. She has solved many difficult problems in modeling and calculation in the process of anomalous transport, and made important contributions to the development of fractional calculus theory and applications, and provided important theoretical basis for interdisciplinary research. More than 60 SCI papers have been published by the first author or corresponding author, and more than 700 citations have been cited by SCI. Five papers have been selected as highly cited papers in ESI for three consecutive years. The relevant achievements have been published in the authoritative journals of computational mathematics and applied mathematics, SIAM Journal on Numerical Analysis, Journal of Scientific Computing, Journal of Computational Physics, Nonlinear Dynamics, Applied Mathematical Modeling, etc.