Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

We introduce new classes of higher-order functional, termed higher-order (F, alpha, rho, d)-convex and higher-order (C, alpha, rho, d)-convex functionals. These classes are illustrated by nontrivial examples. A pair of higher-order multiobjective symmetric fractional variational programs with cone constraints and fixed boundary conditions is formulated. Appropriate duality results are discussed utilizing the aforementioned assumptions. The results in this paper are generalizations of the results already existing in literature.