Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling

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dc.contributor.authorÇetin, Mehmet Akif
dc.contributor.authorAraz, Seda İğret
dc.date.accessioned2026-01-24T11:56:50Z
dc.date.available2026-01-24T11:56:50Z
dc.date.issued2025
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractThis article develops and analyzes a measles infection model using fractional calculus and stochastic methods. The existence and uniqueness of solutions are proven by verifying linear growth and Lipschitz conditions. The model, formulated with the Caputo fractional derivative, is numerically solved via the Newton polynomial method. Simulations illustrate the dynamics of measles infections, offering valuable theoretical and numerical insights that enhance understanding of infectious disease modeling.
dc.identifier.doi10.47000/tjmcs.1696188
dc.identifier.endpage395
dc.identifier.issn2148-1830
dc.identifier.issue2
dc.identifier.startpage378
dc.identifier.urihttps://doi.org/10.47000/tjmcs.1696188
dc.identifier.urihttps://hdl.handle.net/20.500.12868/3357
dc.identifier.volume17
dc.language.isoen
dc.publisherMatematikçiler Derneği
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.relation.ispartofTurkish Journal of Mathematics and Computer Science
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20260121
dc.subjectBiological Mathematics
dc.subjectBiyolojik Matematik
dc.subjectApplied Mathematics (Other)
dc.subjectUygulamalı Matematik (Diğer)
dc.titleExploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling
dc.typeArticle

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