Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/11915| Title: | The power quantum calculus and variational problems |
| Author: | Aldwoah, K. A. Malinowska, A. B. Torres, D. F. M. |
| Keywords: | Generalized Jackson integral Generalized Nörlund sum N, q-difference equations N, q-power difference operator Quantum variational problems |
| Issue Date: | 2012 |
| Publisher: | Watam Press |
| Abstract: | We introduce the power difference calculus based on the operator D n; qf(t) =f(qt n)-f(t)qt n-t , where n is an odd positive integer and 0 < q < 1. Properties of the new operator and its inverse - the d n; q integral - are proved. As an application, we consider power quantum Lagrangian systems and corresponding n; q-Euler-Lagrange equations. © 2012 Watam Press. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/11915 |
| ISSN: | 1492-8760 |
| Appears in Collections: | CIDMA - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [185]The_power_quantum_calculus.pdf | 169.71 kB | Adobe PDF |  |
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