3 papers
math.NA2026
On the Convergence of a Spline Collocation Method for Nonlinear Fractional Boundary Value Problems with the Riesz-Caputo Operator
Chiara Sorgentone, Enza Pellegrino, Francesca Pitolli
Fractional boundary value problems are often used to model complex systems and processes characterized by memory effects and anomalous diffusion. In this paper, we consider fractio…
math.NA2020
Quasi-Interpolant Operators and the Solution of Fractional Differential Problems
Enza Pellegrino, Laura Pezza, Francesca Pitolli
Nowadays, fractional differential equations are a well established tool to model phenomena from the real world. Since the analytical solution is rarely available, there is a great…
math.NA2019
A Collocation Method in Spline Spaces for the Solution of Linear Fractional Dynamical Systems
Enza Pellegrino, Laura Pezza, Francesca Pitolli
We used a collocation method in refinable spline space to solve a linear dynamical system having fractional derivative in time. The method takes advantage of an explicit derivation…