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Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

✍ Scribed by Nicole Heymans; Igor Podlubny

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
273 KB
Volume
45
Category
Article
ISSN
0035-4511

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Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
✍ Rami Ahmad El-Nabulsi; Delfim F. M. Torres 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB

## 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 © 2