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Fractional logistic growth with memory effects: A tool for industry-oriented modeling

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Názov: Fractional logistic growth with memory effects: A tool for industry-oriented modeling
Autori: M.O. Aibinu, A. Shoukat, F.M. Mahomed
Zdroj: Results in Applied Mathematics, Vol 28, Iss , Pp 100647- (2025)
Informácie o vydavateľovi: Elsevier, 2025.
Rok vydania: 2025
Zbierka: LCC:Mathematics
Predmety: Logistic, Fractional derivative, Sumudu transform, Model, Adomian polynomials, Mathematics, QA1-939
Popis: The logistic growth model is a classical framework for describing constrained growth phenomena, widely applied in areas such as population dynamics, epidemiology, and resource management. This study presents a generalized extension using Atangana–Baleanu in Caputo sense (ABC)-type fractional derivatives. Proportional time delay is also included, allowing the model to capture memory-dependent and nonlocal dynamics not addressed in classical formulations. Free parameters provide flexibility for modeling complex growth in industrial, medical, and social systems. The Hybrid Sumudu Variational (HSV) method is employed to efficiently obtain semi-analytical solutions. Results highlight the combined effects of fractional order and delay on system behavior. This approach demonstrates the novelty of integrating ABC-type derivatives, proportional delay, and HSV-based solutions for real-world applications.
Druh dokumentu: article
Popis súboru: electronic resource
Jazyk: English
ISSN: 2590-0374
Relation: http://www.sciencedirect.com/science/article/pii/S2590037425001116; https://doaj.org/toc/2590-0374
DOI: 10.1016/j.rinam.2025.100647
Prístupová URL adresa: https://doaj.org/article/af73b8a51f35401ca51a6efe8381b21f
Prístupové číslo: edsdoj.f73b8a51f35401ca51a6efe8381b21f
Databáza: Directory of Open Access Journals
Popis
Abstrakt:The logistic growth model is a classical framework for describing constrained growth phenomena, widely applied in areas such as population dynamics, epidemiology, and resource management. This study presents a generalized extension using Atangana–Baleanu in Caputo sense (ABC)-type fractional derivatives. Proportional time delay is also included, allowing the model to capture memory-dependent and nonlocal dynamics not addressed in classical formulations. Free parameters provide flexibility for modeling complex growth in industrial, medical, and social systems. The Hybrid Sumudu Variational (HSV) method is employed to efficiently obtain semi-analytical solutions. Results highlight the combined effects of fractional order and delay on system behavior. This approach demonstrates the novelty of integrating ABC-type derivatives, proportional delay, and HSV-based solutions for real-world applications.
ISSN:25900374
DOI:10.1016/j.rinam.2025.100647