Fractional differential equations: Beyond integer order DEs

Abstract: 

Fractional Calculus, which generalises the notion of the derivative and integral to arbitrary order, can trace its origins back to when ‘ordinary’ calculus was founded, with contributions being made by many prominent mathematicians over the years. Yet it is only in recent decades that research in the theory of fractional differential equations has come to the fore. I will go through some fundamental questions and results in this field as well as illustrate what can be gained from studying differential equations in this generalised sense.

Manoj is an Honours student working with Chris Tisdell. This talk is his final presentation for his Honours research project.