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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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Bibliographic Details
Main Authors: Malinowska, Agnieszka B., Odzijewicz, Tatiana (Author), Torres, Delfim F.M. (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Series:SpringerBriefs in Applied Sciences and Technology
Subjects:
Control And Systems Theory
Calculus Of Variations And Optimization
Control Theory
Systems Theory, Control
System Theory
Quantitative Economics
Control Engineering
Mathematical Modeling And Industrial Mathematics
Mathematical Physics
Econometrics
Mathematical Optimization
Calculus Of Variations
Mathematical Methods In Physics
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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