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

Cilt: 6 Sayı: 3 1 Aralık 2021
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Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov

Öz

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

Anahtar Kelimeler

Kaynakça

  1. Newton, I. Philosophiæ Naturalis Principia Mathematica; Jussu Societatis Regiae ac Typis Joseph Streater. Prostat apud plures bibliopolas: London, UK, 1687.
  2. 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.
  3. L’Hôpital, G. Analyse des Infinement Petits; Relnk Books: Paris, France, 1715.
  4. Das, S.,Functional fractional calculus, Springer, 2011.
  5. Hatcher, W.S., The Logical Foundations of Mathematics, Pergamon Press, 1982.
  6. Karcı, A.,”Kesirli Türev için Yapılan Tanımlamaların Eksiklikleri ve Yeni Yaklaşım”, TOK-2013 Turkish Automatic Control National Meeting and Exhibition, 2013a.
  7. Karcı,A., “A New Approach for Fractional Order Derivative and Its Applications”, Universal Journal of Engineering Sciences, Vol:1, pp: 110-117, 2013b.
  8. Karcı, A., “Properties of Fractional Order Derivatives for Groups of Relations/Functions”, Universal Journal of Engineering Sciences, vol:3, pp:39-45, 2015a.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Bilgisayar Yazılımı

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Aralık 2021

Gönderilme Tarihi

12 Ağustos 2021

Kabul Tarihi

29 Ekim 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 3

Kaynak Göster

APA
Karci, A. (2021). Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. Computer Science, 6(3), 166-171. https://doi.org/10.53070/bbd.982188
AMA
1.Karci A. Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. JCS. 2021;6(3):166-171. doi:10.53070/bbd.982188
Chicago
Karci, Ali. 2021. “Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov”. Computer Science 6 (3): 166-71. https://doi.org/10.53070/bbd.982188.
EndNote
Karci A (01 Aralık 2021) Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. Computer Science 6 3 166–171.
IEEE
[1]A. Karci, “Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov”, JCS, c. 6, sy 3, ss. 166–171, Ara. 2021, doi: 10.53070/bbd.982188.
ISNAD
Karci, Ali. “Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov”. Computer Science 6/3 (01 Aralık 2021): 166-171. https://doi.org/10.53070/bbd.982188.
JAMA
1.Karci A. Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. JCS. 2021;6:166–171.
MLA
Karci, Ali. “Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov”. Computer Science, c. 6, sy 3, Aralık 2021, ss. 166-71, doi:10.53070/bbd.982188.
Vancouver
1.Ali Karci. Validities of Fractional Order Derivatives in Literatures Such as Riemann-Liouville, Euler, Caputo and Grünwald-Letnikov. JCS. 01 Aralık 2021;6(3):166-71. doi:10.53070/bbd.982188

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