Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708132 | Applied Mathematics Letters | 2012 | 7 Pages |
Abstract
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz–Caputo derivative. First we prove a generalized Euler–Lagrange equation for the case when the interval of integration of the functional is different from the interval of the fractional derivative. Next we consider integral dynamic constraints on the problem, for several different cases. Finally, we determine optimality conditions for functionals depending not only on the admissible functions, but on time also, and we present a necessary condition for a pair function-time to be an optimal solution to the problem.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ricardo Almeida,