Discovering The Relationships between Fractional Order Derivatives and Complex Numbers

Ali KARCİ; Şeyda KARCI

Makale detayları

Discovering The Relationships between Fractional Order Derivatives and Complex Numbers

Yazarlar:

Ali KARCİ | Şeyda KARCI

Yayıncı:

Ali KARCI

Ana Başlıklar:

Veri işleme & bilgisayar bilimi

Dergi:

Computer Science 2020 Vol.5 Issue 1, pp.42-53

Belge Tipi:

Makale

Yayın Tarihi:

5/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000895930

Sıklık:

İki Yıllık

eISSN:

2548-1304

pISSN:

2548-1304

Anahtar kelimeler:

Fractional order derivatives

Özet:

 

The derivative concept was defined by Newton and Leipzig. After these scientists, there are many approaches about the order of derivative, since derivative defined by Newton and Leipzig considered as order of 1. So, imaginary axis vanishes and the result of derivation is a real number / function. However, in case of other orders of derivations, the obtained results have real and imaginary axises, since complex numbers and derivative have directions and magnitudes. This paper includes these relationships by using fractional order derivative (_α^∂)Kf(t) defined by Karcı.

Makale detayları

Discovering The Relationships between Fractional Order Derivatives and Complex Numbers

Yazarlar: Ali KARCİ | Şeyda KARCI

Yayıncı: Ali KARCI

Ana Başlıklar: Veri işleme & bilgisayar bilimi

Dergi: Computer Science 2020 Vol.5 Issue 1, pp.42-53

Belge Tipi: Makale

Yayın Tarihi: 5/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000895930

Sıklık: İki Yıllık

eISSN: 2548-1304

pISSN: 2548-1304

Fractional order derivatives

Sayı

Yazarlar:

Ali KARCİ | Şeyda KARCI

Yayıncı:

Ali KARCI

Ana Başlıklar:

Veri işleme & bilgisayar bilimi

Dergi:

Computer Science 2020 Vol.5 Issue 1, pp.42-53

Belge Tipi:

Makale

Yayın Tarihi:

5/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000895930

Sıklık:

İki Yıllık

eISSN:

2548-1304

pISSN:

2548-1304