Definitions of half-finish
Introduction to the fractional derivative

Add to my library

AF510 V1 Article

Definitions of half-finish


Introduction to the fractional derivative

Authors : François DUBOIS, Ana Cristina GALUCIO, Nelly POINT

Publication date: April 10, 2010 | Lire en français

Add to my library Add to my library

Logo Techniques de l'Ingenieur You do not have access to this resource.
Request your free trial access! Free trial

Already subscribed?

2. Definitions of half-finish

2.1 Riemann-Liouville half-derivative

SCROLL TO TOP

2.1.1 Definition

We saw in the previous paragraph how to "half-integrate" a causal function of time. If we now derive this "half-integral", we obtain a "half-derivative", or a derivative of order one-half. This is what Riemann and Liouville proposed for a causal function u(•) at the end of the 19th century (see, for example, Volume 2 of the treatise by Courant and Hilbert

You do not have access to this resource.
Logo Techniques de l'Ingenieur

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed?


Article included in this offer

"Mathematics"

( 167 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Dans les ressources documentaires

Turbomachines : calcul des écoulements incompressibles - Modélisation

Les mécanismes physiques qui régissent les écoulements dans les turbomachines sont complexes, multiples e...

Comportement rhéologique des matériaux métalliques multiphasés

Les divers paramètres permettant de caractériser un matériau multiphasé sont passés en revue. Les bornes ...

Convection naturelle - Aspects théoriques

Le transfert de chaleur (ou de masse) par convection désigne la transmission de la chaleur à, ou par, un ...

Convection naturelle - Cas particuliers

Cet article a pour objectif de fournir les bases pour une analyse des situations de convection naturelle ...

Tous les livres blancs
Toutes les actualités
Contact us