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

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 Espa\~nola and automatically translated using Github copilot.