Fractional variational problems depending on indefinite integrals

Details Fractional variational problems depending on indefinite integrals Fractional variational problems depending on indefinite integrals

2011-02-16

arxiv.org/abs/1102.3360v1

Nonlinear Analysis 75 (2012), no. 3, 1009-1025

Mathematics

Optimization and Control

Submitted 29-Dec-2010; revised 14-Feb-2011; accepted 16-Feb-2011; for publication in Nonlinear Analysis Series A: Theory, Meth

Scientific paper

10.1016/j.na.2011.02.028

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.

Affiliated with

Also associated with

No associations

Rating

Fractional variational problems depending on indefinite integrals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional variational problems depending on indefinite integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional variational problems depending on indefinite integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-417409