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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