| Autor: |
Houssine Zine, El Mehdi Lotfi, Delfim F.M. Torres, Noura Yousfi |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Results in Control and Optimization, Vol 14, Iss , Pp 100356- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2666-7207 |
| DOI: |
10.1016/j.rico.2023.100356 |
| Popis: |
Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions is formulated and a corresponding (weak) version of Pontryagin’s maximum principle is proved. As corollaries, necessary optimality conditions for Caputo–Fabrizio, Atangana–Baleanu and weighted Atangana–Baleanu fractional dynamic optimization problems are trivially obtained. As an application, the weighted generalized fractional problem of the calculus of variations is investigated and a new more general fractional Euler–Lagrange equation is given. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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