Title: A glimpse of fractional calculus

Speaker: YU QIANG

Time: 2018.12月22日 （4个课时）

Location: Center for Mathematical Sciences, Room 813

Abstract: Fractional calculus has been widely used in recently years in various applications in science and engineering. Fractional order dynamics in physics, particularly when applied to diffusion, leads to an extension of the concept of Brownian motion through a generalization of the Gaussian probability function to what is termed anomalous diffusion. A particular and very interesting class of complex phenomena arises in magnetic resonance imaging (MRI), where fractional calculus may help to express a physical meaning through the fractional order of the derivative operator. This presentation will focus on numerical simulation, modelling and experiment studies relating to anomalous relaxation and diffusion in MRI.