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Optimality conditions for the calculus of variations with higher-order delta derivatives

✍ Scribed by Rui A.C. Ferreira; Agnieszka B. Malinowska; Delfim F.M. Torres

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
232 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higherorder delta derivatives.

📜 SIMILAR VOLUMES

Necessary optimality conditions for frac
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