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Dergiler / 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
Sayfa
166–171
Yayın Tarihi
2021-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez: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
📊
Temel Bulgular & Veri: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
💡
Sonuç & Katkı: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
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fractional order derivatives · Grünwald-Letnikov derivative · Riemann-Liouville derivative

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

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

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Bu Makaleye Atıf Yap

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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Kaynakça (8)

  1. Newton, I. Philosophiæ Naturalis Principia Mathematica; Jussu Societatis Regiae ac Typis Joseph Streater. Prostat apud plures bibliopolas: London, UK, 1687. L’Hôpital, G. Analyse des Infiniment Petits pour l’Intelligence des Lignes Courbes (Infinitesimal Calculus with Applications to Curved Lines); François Montalant: Paris, France, 1696. L’Hôpital, G. Analyse des Infinement Petits; Relnk Books: Paris, France, 1715. Das, S.,Functional fractional calculus, Springer, 2011.
  2. Hatcher, W.S., The Logical Foundations of Mathematics, Pergamon Press, 1982.
  3. Karcı, A.,”Kesirli Türev için Yapılan Tanımlamaların Eksiklikleri ve Yeni Yaklaşım”, TOK-2013 Turkish Automatic Control National Meeting and Exhibition, 2013a. Karcı,A., “A New Approach for Fractional Order Derivative and Its Applications”, Universal Journal of Engineering Sciences, Vol:1, pp: 110-117, 2013b.
  4. Karcı, A., “Properties of Fractional Order Derivatives for Groups of Relations/Functions”, Universal Journal of Engineering Sciences, vol:3, pp:39-45, 2015a. Karcı,A., “The Properties of New Approach of Fractional Order Derivative”, Journal of the Faculty of Engineering and Architecture of Gazi University, Vol.30, pp:487-501, 2015b.
  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.