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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2018 / Cilt: 8 - Sayı: 1

Analysis of rubella disease model with non-local and non-singular fractional derivatives

İlknur KOCA
Pages
17–25
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally some numerical simulations are showed to underpin theeffectiveness of the used derivative.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we investigate a possible applicability of the newly establishedfractional differentiation in the field of epidemiology.
📊
Key Findings & Data:To do this we extendthe model describing the Rubella spread by changing the derivative with thetime fractional derivative for the inclusion of memory.
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Conclusion & Impact:Finally some numerical simulations are showed to underpin theeffectiveness of the used derivative.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we investigate a possible applicability of the newly establishedfractional differentiation in the field of epidemiology. To do this we extendthe model describing the Rubella spread by changing the derivative with thetime fractional derivative for the inclusion of memory. Detailed analysis ofexistence and uniqueness of exact solution is presented using the Banach fixedpoint theorem. Finally some numerical simulations are showed to underpin theeffectiveness of the used derivative.

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Cite This Article

KOCA, İ. (2022). Analysis of rubella disease model with non-local and non-singular fractional derivatives. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 8 - Sayı: 1, 17–25. https://ajindex.com/articles/440646

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