pith. sign in

arxiv: 1102.3360 · v1 · pith:JOLJ737Rnew · submitted 2011-02-16 · 🧮 math.OC

Fractional variational problems depending on indefinite integrals

classification 🧮 math.OC
keywords fractionalproblemsdependingcaputoconditionsindefiniteresultsvariational
0
0 comments X
read the original abstract

We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral. Main results give fractional Euler-Lagrange type equations and natural boundary conditions, which provide a generalization of previous results found in the literature. Isoperimetric problems, problems with holonomic constraints and depending on higher-order Caputo derivatives, as well as fractional Lagrange problems, are considered.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.