Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling
Abstract
This 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.
Keywords
References
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Details
Primary Language
English
Subjects
Biological Mathematics, Applied Mathematics (Other)
Journal Section
Research Article
Publication Date
December 30, 2025
Submission Date
May 9, 2025
Acceptance Date
July 10, 2025
Published in Issue
Year 2025 Volume: 17 Number: 2
APA
Çetin, M. A., & İğret Araz, S. (2025). Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling. Turkish Journal of Mathematics and Computer Science, 17(2), 378-395. https://doi.org/10.47000/tjmcs.1696188
AMA
1.Çetin MA, İğret Araz S. Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling. TJMCS. 2025;17(2):378-395. doi:10.47000/tjmcs.1696188
Chicago
Çetin, Mehmet Akif, and Seda İğret Araz. 2025. “Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling”. Turkish Journal of Mathematics and Computer Science 17 (2): 378-95. https://doi.org/10.47000/tjmcs.1696188.
EndNote
Çetin MA, İğret Araz S (December 1, 2025) Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling. Turkish Journal of Mathematics and Computer Science 17 2 378–395.
IEEE
[1]M. A. Çetin and S. İğret Araz, “Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling”, TJMCS, vol. 17, no. 2, pp. 378–395, Dec. 2025, doi: 10.47000/tjmcs.1696188.
ISNAD
Çetin, Mehmet Akif - İğret Araz, Seda. “Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 378-395. https://doi.org/10.47000/tjmcs.1696188.
JAMA
1.Çetin MA, İğret Araz S. Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling. TJMCS. 2025;17:378–395.
MLA
Çetin, Mehmet Akif, and Seda İğret Araz. “Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 378-95, doi:10.47000/tjmcs.1696188.
Vancouver
1.Mehmet Akif Çetin, Seda İğret Araz. Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling. TJMCS. 2025 Dec. 1;17(2):378-95. doi:10.47000/tjmcs.1696188