Fractional Order Integration: A New Perspective based on Karcı’s Fractional Order Derivative
Öz
Anahtar Kelimeler
Kaynakça
- Baron, M.E.,”The Origin of the Infinitesimal Calculus”, New York, 1969.
- 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.
- Das, S.,”Functional Fractional Calculus”, Springer-Verlag Berlin Heidelberg, 2011.
- 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.
- 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.
- Karcı, A., “Kesirli Türev için Yapılan Tanımlamaların Eksiklikleri ve Yeni Yaklaşım”, TOK-2013 Turkish Automatic Control National Meeting and Exhibition, Malatya, Turkey, 2013a.
- Karcı, A.,”A New Approach for Fractional Order Derivative and Its Applications”, Universal Journal of Engineering Sciences, 1:110-117, 2013b.
- 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
Yazarlar
Ali Karci
*
0000-0002-8489-8617
Türkiye
Yayımlanma Tarihi
1 Haziran 2021
Gönderilme Tarihi
11 Nisan 2021
Kabul Tarihi
27 Nisan 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 6 Sayı: 2
is applied to all research papers published by JCS and
is assigned for each published paper.