Fractional variational calculus with classical and combined Caputo derivatives

We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. EulerLagrange equations to the basic and isoperimetric problems as well as transve...

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Bibliographic Details
Main Author: Odzijewicz, T. (author)
Other Authors: Malinowska, A. B. (author), Torres, D. F. M. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Euler-Lagrange equations
Fractional derivatives
Fractional variational analysis
Isoperimetric problems
Natural boundary conditions
Variational analysis
Differentiation (calculus)
Variational techniques
Calculations
Online Access:http://hdl.handle.net/10773/11903
Country:Portugal
Oai:oai:ria.ua.pt:10773/11903

Internet

http://hdl.handle.net/10773/11903

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