Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631338 | Applied Mathematics and Computation | 2012 | 13 Pages |
Abstract
The study of fractional variational problems in terms of a combined fractional Caputo derivative is introduced. Necessary optimality conditions of Euler–Lagrange type for the basic, isoperimetric, and Lagrange variational problems are proved, as well as transversality and sufficient optimality conditions. This allows to obtain necessary and sufficient Pareto optimality conditions for multiobjective fractional variational problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Agnieszka B. Malinowska, Delfim F.M. Torres,