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Journals / Bilgisayar Bilimleri / 2021 / Cilt: 6 - Sayı: 3

Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov

Ali KARCİ
Pages
166–171
Publication Date
2021-12-01
DOI
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AI Summary & Key Takeaways

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

In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition
📊
Key Findings & Data:In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition
💡
Conclusion & Impact:In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional order derivatives · Grünwald-Letnikov derivative · Riemann-Liouville derivative

Abstract

In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition

Özet

In this paper, it has been proven that it would be more accurate to accept Euler, Riemann-Liouville, Caputo, and Grünwald-Letnikov methods as curve fitting or amplitude shifting methods without derivative definition

🔖

Cite This Article

KARCİ, A. (2021). Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. Bilgisayar Bilimleri, Cilt: 6 - Sayı: 3, 166–171. https://ajindex.com/articles/743141

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References (8)

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  5. Karcı, A.,” Fractional order entropy New perspectives”, Optik - International Journal for Light and Electron Optics, Vol:127, pp:9172-9177, 2016.
  6. Karcı, A.,” Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy”, Anatolian Science Journal of Computer Sciences, Vol:2, pp:1-8, 2017.
  7. Karcı, A.,” Properties of Karcı’s Fractional Order Derivative”, Universal Journal of Engineering Science, Vol:7, pp:32-38, 2019.
  8. Karcı, A., Karcı, Ş.,” Discovering The Relationships between Fractional Order Derivatives and Complex Numbers”, Anatolian Science - journal of Computer Science, Vol:5, pp:42-53, 2020.