Optimal models of fractional integrators and application to systems with fading memory

Abstract

Dynamic input-output models of fractional integrators are presented. They are based on simple diffusion equations and offer many advantages, namely nonheredity and easy and efficient numerical approximation possibilities via standard methods. An abstract linear hyperbolic system with fractional fading memory is analysed via this approach, in the aim of demonstrating the suitability of such tools.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>