TY - CONF A1 - Diethelm, Kai A2 - Cardone, Angelamaria A2 - Donatelli, Marco A2 - Durastante, Fabio A2 - Garrappa, Roberto A2 - Mazza, Mariarosa A2 - Popolizio, Marina T1 - A New Diffusive Representation for Fractional Derivatives, Part I: Construction, Implementation and Numerical Examples T2 - Fractional Differential Equations: Modeling, Discretization, and Numerical Solvers N2 - Diffusive representations of fractional derivatives have proven to be useful tools in the construction of fast and memory efficient numerical methods for solving fractional differential equations. A common challenge in many of the known variants of this approach is that they require the numerical approximation of some integrals over an unbounded integral whose integrand decays rather slowly, which implies that their numerical handling is difficult and costly. We present a novel variant of such a diffusive representation. This form also requires the numerical approximation of an integral over an unbounded domain, but the integrand decays much faster. This property allows to use well established quadrature rules with much better convergence properties. Y1 - 2023 UR - https://opus4.kobv.de/opus4-fhws/frontdoor/index/index/docId/3231 SN - 978-981-19-7715-2 SN - 978-981-19-7716-9 SP - 1 EP - 15 PB - Springer CY - Singapore ER -