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We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where… Click to show full abstract
We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on the endpoints conditions and a real parameter, for the basic and isoperimetric problems, with and without fixed boundary conditions. Our results provide a generalization to previous results obtained for the $q$- and Hahn-calculus.
Keywords:
variational calculus;
quantum variational;
general quantum
Journal Title: Statistics, Optimization and Information Computing
Year Published: 2018
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Journal Title: Statistics, Optimization and Information Computing
Year Published: 2018
Link to full text (if available)
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recommendations!