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

TL;DR

This paper introduces fractional derivatives, extending classical calculus to non-integer orders, discussing their definitions, properties, and applications in an accessible manner.

Contribution

It provides an accessible introduction to fractional derivatives, highlighting their fundamental properties and potential applications in various fields.

Findings

Fractional derivatives extend classical calculus to non-integer orders.

They have diverse applications in science and engineering.

The paper summarizes key properties of fractional derivatives.

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.