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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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Main Authors: Malinowska, Agnieszka B. (Author, http://id.loc.gov/vocabulary/relators/aut), Odzijewicz, Tatiana. (http://id.loc.gov/vocabulary/relators/aut), Torres, Delfim F.M. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Applied Sciences and Technology,
Subjects:
Calculus of variations.
Control engineering.
Physics.
Economic theory.
Mathematical models.
System theory.
Calculus of Variations and Optimal Control; Optimization.
Control and Systems Theory.
Mathematical Methods in Physics.
Economic Theory/Quantitative Economics/Mathematical Methods.
Mathematical Modeling and Industrial Mathematics.
Systems Theory, Control.
Online Access:https://doi.org/10.1007/978-3-319-14756-7
Table of Contents:
  • 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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