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Title: General quantum variational calculus
Author: Brito da Cruz, A.M.C.
Martins, Natália
Keywords: General quantum calculus
Hahn’s difference operator
Jackson’s integral
Quantum calculus
Calculus of variations
Euler–Lagrange equation
Generalized natural boundary conditions
Isoperimetric problem.
Issue Date: Mar-2018
Publisher: International Academic Press
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
Peer review: yes
DOI: 10.19139/soic.v6i1.467
ISSN: 2311-004X
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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