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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Illustrative examples are given to present the details of $F^{\alpha}$-integrals and $F^{\alpha}$-derivatives.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we apply $F^{\alpha}$-calculus on the fractal Koch and Ces\`{a}ro curves with different dimensions.
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Key Findings & Data:A generalized Newton's second law on the fractal Koch and Ces\`{a}ro curves is given.
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Conclusion & Impact:Illustrative examples are given to present the details of $F^{\alpha}$-integrals and $F^{\alpha}$-derivatives.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$F^{\alpha}$-calculus · fractal Koch curve · staircase function
Abstract
In this paper, we apply $F^{\alpha}$-calculus on the fractal Koch and Ces\`{a}ro curves with different dimensions. A generalized Newton's second law on the fractal Koch and Ces\`{a}ro curves is given. Density of the moving particles absorbed on fractal Ces\`{a}ro are derived. Illustrative examples are given to present the details of $F^{\alpha}$-integrals and $F^{\alpha}$-derivatives.
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Cite This Article
GOLMANKHANEH, A. K. (2017). On the calculus of parameterized fractal curves. Turkish Journal of Physics, Cilt: 41 - Sayı: 5, 418–425. https://ajindex.com/articles/377879