Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation

Abstract

In this paper, we revisit the diffusive representations of fractional integrals established in \cite{diethelm2023diffusive} to explore novel variants of such representations which provide highly efficient numerical algorithms for the approximate numerical evaluation of fractional integrals.

arXiv comment6 pages

References in corpus (4)

• Exponential sum approximations for $t^{-\beta }$
• A Gauss-Jacobi Kernel Compression Scheme for Fractional Differential Equations
• A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme
• Diffusive Representations for the Numerical Evaluation of Fractional Integrals

Cited by in corpus (2)

• Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations
• Energy, Passivity, and Diffusive Representations in Anisotropic Fractional Maxwell--Cole--Cole Media