Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control

• Autorzy: Aadi Sultana , Akhlil Khalid , Aayadi Khadija

Identyfikatory

DOI

10.1515/jaa-2021-2062

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the g-Navier-Stokes equations with time-fractional derivative of order α ∈ (0, 1) in domains of ℝ². We then study the existence and uniqueness of weak solutions by means of the Galerkin approximation. Finally, an optimal control problem is considered and solved.

Słowa kluczowe

EN

matrix operator; fractional evolution equation

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 135--147
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Aadi Sultana

• Ibn Zohr University, Agadir, Morocco

• https://orcid.org/0000-0001-6538-0719

autor

Akhlil Khalid

• Polydisciplinary Faculty of Ouarzazate, Ibn Zohr University, Agadir, Morocco

• https://orcid.org/0000-0003-3800-1693

autor

Aayadi Khadija

• Polydisciplinary Faculty of Ouarzazate, Ibn Zohr University, Agadir, Morocco

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).