TY - INPR A1 - Chaudhary, Renu A1 - Diethelm, Kai T1 - Revisiting diffusive representations for enhanced numerical approximation of fractional integrals N2 - This study reexamines diffusive representations for fractional integrals with the goal of pioneering new variants of such representations. These variants aim to offer highly efficient numerical algorithms for the approximate computation of fractional integrals. The approach seamlessly aligns with established techniques used in addressing problems involving integer-order operators, contributing to a unified framework for numerical solutions. Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-51989 ER - TY - INPR A1 - Chaudhary, Renu A1 - Diethelm, Kai T1 - Novel variants of diffusive representation of fractional integrals: Construction and numerical computation N2 - In this paper, we revisit the diffusive representations of fractional integrals established in Diethelm (2023a) to explore novel variants of such representations which provide highly efficient numerical algorithms for the approximate numerical evaluation of fractional integrals. Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:863-opus-51975 ER -