NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR FRACTIONAL FORNASINI-MARCHESINI MODEL

Yusubov S. S., Mahmudov E.

Journal of Industrial and Management Optimization, vol.19, no.10, pp.7221-7244, 2023 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 19 Say: 10
  • Nəşr tarixi: 2023
  • Doi nömrəsi: 10.3934/jimo.2022260
  • jurnalın adı: Journal of Industrial and Management Optimization
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Səhifə sayı: pp.7221-7244
  • Açar sözlər: Caputo derivative, Fractional optimal control, Pontryagin maximum principle
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In the paper, we study an optimal control problem connected with a fractional Fornasini-Marchesini model described by partial Caputo derivatives. Using a new version of the increment method, the necessary and sufficient optimality condition is obtained in the form of the Pontryagin maximum principle for the posed fractional optimal control problem. The paper is concluded with illustrating example.