|
Quantum Frechet derivative: A new framework for analysing non-linear operators |
|---|---|
| รหัสดีโอไอ | |
| Creator | Pelin Yaprakdal |
| Title | Quantum Frechet derivative: A new framework for analysing non-linear operators |
| Contributor | Selim Cetin |
| Publisher | Maejo University |
| Publication Year | 2568 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 2 |
| Page no. | 150 |
| Keyword | q-derivative, Frechet derivative, non-linear operators, quantum Frechet derivative |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | This study introduces a derivative concept that integrates the q-derivative and the Frechet de-rivative, aiming to overcome the limitations associated with non-linear operators. The theoreti-cal foundation for the newly defined quantum Frechet derivative is presented, supported by definitions, properties and illustrative examples. In particular, this derivative maintains con-sistency with classical definitions in finite-dimensional cases, while offering generalisability for applications in infinite-dimensional spaces. |
