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Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles

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Abstract

The main goal of this paper is to introduce necessary efficiency conditions for a class of multi-time vector fractional variational problems with nonlinear equality and inequality constraints involving higher-order partial derivatives. We consider the multi-time multiobjective variational problem (MFP) of minimizing a vector of path-independent curvilinear integral functionals quotients subject to PDE and/or PDI constraints, developing an optimization theory on the higher-order jet bundles.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Applied Sciences, University “Politehnica” of Bucharest, 313 Splaiul Independentei, 060042, Bucharest, Romania

    Savin Treanţă

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  1. Savin Treanţă
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Correspondence to Savin Treanţă.

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Treanţă, S. Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles. Commun. Math. Stat. 4, 323–340 (2016). https://doi.org/10.1007/s40304-016-0087-0

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  • DOI: https://doi.org/10.1007/s40304-016-0087-0

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