A Historical Perspective on the Development of Fractional-Order Differential Equation

Fractional-order differential equations (FODEs), rooted in a 1695 exchange between Leibniz and L’Hôpital, have evolved from a mathematical curiosity to a formal tool for modeling memory-dependent systems. This article traces the historical development of FODEs through the contributions of Euler, Liouville, Riemann, and Caputo. It highlights how theoretical advances and computational methods have shaped their modern relevance in science and engineering.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-02
DOI
https://doi.org/10.5281/zenodo.15574842
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

A Historical Perspective on the Development of Fractional-Order Differential Equation

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

A Historical Perspective on the Development of Fractional-Order Differential Equation

article en

Abstract

Fractional-order differential equations (FODEs), rooted in a 1695 exchange between Leibniz and L’Hôpital, have evolved from a mathematical curiosity to a formal tool for modeling memory-dependent systems. This article traces the historical development of FODEs through the contributions of Euler, Liouville, Riemann, and Caputo. It highlights how theoretical advances and computational methods have shaped their modern relevance in science and engineering.

Zenodo (CERN European Organization for Nuclear Research)
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A Historical Perspective on the Development of Fractional-Order Differential Equation · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS