Fractional Calculus: Numerical Methods and Models

Wednesday 25 May 2016 h. 14:30, Room 2BC30
Abdelsheed Ismail Gad Ameen (Dip. Mat.)
"Fractional Calculus: Numerical Methods and Models"

In this talk, we first give a short introduction of fractional calculus (FC) and its geometrical, physical interpretation. Then, we discuss the differential equations of fractional order (Caputo type) which have recently proved to be valuable tools for modeling of many biological phenomena. Most of fractional ordinary differential equations (FODEs) do not have exact analytic solutions so that numerical techniques must be used. Hence, we present the fractional Euler method to solve systems of nonlinear FODEs and show how to use this method for solving the Susceptible-Infected-Recovered (SIR) model of fractional order.