Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles

Savin Treanţă

doi:10.1007/s40304-016-0087-0

Communications in Mathematics and Statistics ›› 2016, Vol. 4 ›› Issue (3) : 323 -340. DOI: 10.1007/s40304-016-0087-0

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Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles

Savin Treanţă ¹^,^a

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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.

Keywords

Higher-order jet bundle / Efficiency / Multiobjective fractional variational problem / (Normal) efficient solution

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Savin Treanţă. Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles. Communications in Mathematics and Statistics, 2016, 4(3): 323-340 DOI:10.1007/s40304-016-0087-0

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