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http://hdl.handle.net/10773/24187| 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 |
| URI: | http://hdl.handle.net/10773/24187 |
| DOI: | 10.19139/soic.v6i1.467 |
| ISSN: | 2311-004X |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 467-2358-1-PB.pdf | 165.01 kB | Adobe PDF | View/Open |
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