On the construction of k-step methods for Fractional Differential Equations

Paolo Novati

Department of Mathematics
University of Padova, Italy

We study the numerical solution of Fractional Differential Equations by means of k-step formulas. For the construction of such methods we study some techniques for the approximation of the fractional derivative operator, which are based on the rational approximation  of the fractional power of matrix.

 

Work in collaboration with Lidia Aceto, Cecilia Magherini
Department of Mathematics
University of Pisa, Italy