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Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative

Cilt: 6 Sayı: 2 1 Haziran 2021
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Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative

Öz

There are many methods/definitions for fractional order derivatives, and naturally, there are many definitions for fractional order integrals based on these definitions. In this paper, a new definition for fractional order integral was emphasized based on the definition for fractional order derivative made by Karcı.

Anahtar Kelimeler

Kaynakça

  1. Baron, M.E.,”The Origin of the Infinitesimal Calculus”, New York, 1969.
  2. Bataineh, A.S., Alomari, A.K., Noorani, M.S.M., Hashim, I., Nazar, R.,”Series Solutions of Systems of Nonlinear Fractional Differential Equations”, Acta Applied Mathematics, 105:189-198,2009.
  3. Das, S.,”Functional Fractional Calculus”, Springer-Verlag Berlin Heidelberg, 2011.
  4. Diethelm, K., Ford, N.J., Freed, A.D., Luchko, Y.,”Algorithms fort he Fractional Calculus: A Selection of Numerical Methdos, Computer Methods in Applied Mechanics and Engineering”, 194:743-773,2005.
  5. Goldenbaum, U., Jesseph, D.,”Infinitesimal Differences: Controversies between Leibniz and his Contemporaries”, New York, 2008. He, J.-H., Elagan,S.K., Li,Z.B., “Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus”, Physics Letters A, 376:257-259, 2012.
  6. Karcı, A., “Kesirli Türev için Yapılan Tanımlamaların Eksiklikleri ve Yeni Yaklaşım”, TOK-2013 Turkish Automatic Control National Meeting and Exhibition, Malatya, Turkey, 2013a.
  7. Karcı, A.,”A New Approach for Fractional Order Derivative and Its Applications”, Universal Journal of Engineering Sciences, 1:110-117, 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

Yazılım Testi, Doğrulama ve Validasyon

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Haziran 2021

Gönderilme Tarihi

11 Nisan 2021

Kabul Tarihi

27 Nisan 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Karci, A. (2021). Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative. Computer Science, 6(2), 102-105. https://izlik.org/JA88BR22ER
AMA
1.Karci A. Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative. JCS. 2021;6(2):102-105. https://izlik.org/JA88BR22ER
Chicago
Karci, Ali. 2021. “Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative”. Computer Science 6 (2): 102-5. https://izlik.org/JA88BR22ER.
EndNote
Karci A (01 Haziran 2021) Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative. Computer Science 6 2 102–105.
IEEE
[1]A. Karci, “Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative”, JCS, c. 6, sy 2, ss. 102–105, Haz. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA88BR22ER
ISNAD
Karci, Ali. “Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative”. Computer Science 6/2 (01 Haziran 2021): 102-105. https://izlik.org/JA88BR22ER.
JAMA
1.Karci A. Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative. JCS. 2021;6:102–105.
MLA
Karci, Ali. “Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative”. Computer Science, c. 6, sy 2, Haziran 2021, ss. 102-5, https://izlik.org/JA88BR22ER.
Vancouver
1.Ali Karci. Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative. JCS [Internet]. 01 Haziran 2021;6(2):102-5. Erişim adresi: https://izlik.org/JA88BR22ER

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