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

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Titel: Fractional logistic growth with memory effects: A tool for industry-oriented modeling
Autoren: M.O. Aibinu, A. Shoukat, F.M. Mahomed
Quelle: Results in Applied Mathematics, Vol 28, Iss , Pp 100647- (2025)
Verlagsinformationen: Elsevier, 2025.
Publikationsjahr: 2025
Bestand: LCC:Mathematics
Schlagwörter: Logistic, Fractional derivative, Sumudu transform, Model, Adomian polynomials, Mathematics, QA1-939
Beschreibung: 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.
Publikationsart: article
Dateibeschreibung: electronic resource
Sprache: 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
Zugangs-URL: https://doaj.org/article/af73b8a51f35401ca51a6efe8381b21f
Dokumentencode: edsdoj.f73b8a51f35401ca51a6efe8381b21f
Datenbank: Directory of Open Access Journals
Beschreibung
Abstract: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