Advanced Methods in the Fractional Calculus of Variations

This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler-Lagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractiona...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Malinowska, Agnieszka B. (Autor), Odzijewicz, Tatiana (Autor), Torres, Delfim F.M (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:SpringerBriefs in Applied Sciences and Technology,
Temas:
Mathematical optimization.
Calculus of variations.
Control engineering.
Mathematical physics.
Econometrics.
Mathematical models.
System theory.
Control theory.
Calculus of Variations and Optimization.
Control and Systems Theory.
Mathematical Methods in Physics.
Quantitative Economics.
Mathematical Modeling and Industrial Mathematics.
Systems Theory, Control .
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. Fractional Calculus
  • 3. Fractional Calculus of Variations
  • 4. Standard Methods in Fractional Variational Calculus
  • 5. Direct Methods in Fractional Calculus of Variations
  • 6. Application to the Sturm-Liouville Problem
  • 7. Conclusion
  • Appendix - Two Convergence Lemmas
  • Index.

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