Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

✍ Scribed by Rami Ahmad El-Nabulsi; Delfim F. M. Torres

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 110 KB
• Volume: 30
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.879

✦ Synopsis

Abstract

We derive Euler–Lagrange‐type equations for fractional action‐like integrals of the calculus of variations which depend on the Riemann–Liouville derivatives of order (α, β), α>0, β>0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright © 2007 John Wiley & Sons, Ltd.