TY - CONF A1 - Diethelm, Kai T1 - Diffusive Representations for the Numerical Evaluation of Fractional Integrals T2 - Proceeding of the 2023 International Conference on Fractional Differentiation and its Applications (ICFDA) N2 - Diffusive representations of fractional differential and integral operators can provide a convenient means to construct efficient numerical algorithms for their approximate evaluation. In the current literature, many different variants of such representations have been proposed. Concentrating on Riemann-Liouville integrals whose order is in (0,1), we here present a general approach that comprises most of these variants as special cases and that allows a detailed investigation of the analytic properties of each variant. The availability of this information allows to choose concrete numerical methods for handling the representations that exploit the specific properties, thus allowing to construct very efficient overall methods. Y1 - 2023 UR - https://opus4.kobv.de/opus4-fhws/frontdoor/index/index/docId/3232 UR - https://arxiv.org/abs/2301.11931 PB - IEEE CY - Piscataway ER -