Multiobjective fractional variational calculus in terms of a combined Caputo derivative

Details Multiobjective fractional variational calculus in terms of a combined Caputo derivative Multiobjective fractional variational calculus in terms of a combined Caputo derivative

2011-10-31

arxiv.org/abs/1110.6666v1

Appl. Math. Comput. 218 (2012), no. 9, 5099--5111

Mathematics

Optimization and Control

Submitted 18-Nov-2010; accepted 28-Oct-2011; to Applied Mathematics and Computation (ISSN: 0096-3003). In press, DOI: 10.1016/

Scientific paper

10.1016/j.amc.2011.10.075

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.

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