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Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals

Numerical Analysis 2025-07-08 v1 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2312.11590,
  title  = {Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals},
  author = {Renu Chaudhary and Kai Diethelm},
  journal= {arXiv preprint arXiv:2312.11590},
  year   = {2025}
}

Comments

6 pages. arXiv admin note: text overlap with arXiv:2312.11305

R2 v1 2026-06-28T13:55:12.093Z