Fractional optimal control approach to the diabetics model

• Autorzy: Nadeem Muhammad , Habib Mustafa , Arif Ayesha , Asjad Muhammad Imran

Identyfikatory

DOI

10.17512/jamcm.2024.1.06

• Języki publikacji: EN

Abstrakty

EN

Diabetes mellitus is one of the most critical diseases, affecting millions of people around the world. This work deals with the fractional optimal control of the dynamics of the population model on diabetes. This framework is based on the fractional order differential problems that describe the population before and after diabetes involving some health problems. We consider the Caputo derivatives for the study of the proposed model. The maximum principle of Pontryagin is utilized to derive the necessary conditions for the optimality of a dynamical system. Using a forward-backward sweep approach with the generalized Euler method accomplishes numerical solutions of formulated issues.

Słowa kluczowe

EN

diabetes; optimal control; mathematical model; numerical simulations

PL

cukrzyca; kontrola optymalna; modelowanie matematyczne; symulacje numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 71--82
• Opis fizyczny: Bibliogr. 32 poz., tab.

Twórcy

autor

Nadeem Muhammad

• School of Mathematics and Statistics, Qujing Normal University, Qujing 655011, China

autor

Habib Mustafa

• Department of Mathematics, University of Engineering and Technology, Lahore 58400, Pakistan

autor

Arif Ayesha

• Department of Mathematics, University of Engineering and Technology, Lahore 58400, Pakistan

autor

Asjad Muhammad Imran

• Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).