Fractional Derivatives: an extension of classical analysis to non-integer orders

2025/11/20 by del Teso, Félix, Gómez-Castro, David
Engineering · Mathematics · #Advanced Control Systems Design #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Analysis #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2511.16789

openalex publication_date 2025/11/20 · openalex created_date 2025/11/25 · openalex updated_date 2026/07/28

Abstract

This article provides an accessible introduction to fractional derivatives, a concept that extends classical calculus by allowing derivatives of non-integer order. It explores both the fundamental definitions and some of the most relevant properties and applications of this mathematical tool. It was originally published in Spanish in the Gaceta de la Real Sociedad Española and automatically translated using Github copilot.

Citations

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