Fractional differential equations and anomalous transport

Fractional differential equations and anomalous transport

• Sergei Fedotov (sergei.fedotov@manchester.ac.uk)

This project is concerned with anomalous transport, which cannot be described by standard calculus. Instead it requires the use of fractional differential equations involving fractional derivatives of non integer order. This is a new, exciting area of research because anomalous transport is a widespread natural phenomenon. Examples include flight of albatross, stock prices, human migration, social networks, transport on fractal geometries, proteins on cell membranes, bacterial motion, and signalling molecules in the brain.