FRACTIONAL ORDER DERIVATIVE AND RELATIONSHIP BETWEEN DERIVATIVE AND COMPLEX FUNCTIONS

ALİ KARCI; AHMETKARADOĞAN

Makale detayları

FRACTIONAL ORDER DERIVATIVE AND RELATIONSHIP BETWEEN DERIVATIVE AND COMPLEX FUNCTIONS

Yazarlar:

ALİ KARCI | AHMETKARADOĞAN

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2014 Vol.2 Issue 1, pp.44-54

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

İngilizce

Document ID (Org No.):

2000542385

Sıklık:

Üç Aylık

eISSN:

2147-6268

Özet:

 

The concept of fractional order derivative can be found in widerange of many different areas. Due to this case, there are many methods aboutfractional order derivative (FOD). The most of them are Euler, RiemannLiouville, Grunwald-Letnikov, Oldham-Spanier, Miller-Ross, Kolwankar-Gangal,and Caputo methods which are fractional order derivatives as mentioned in theliterature. However, they are not sound and complete for constant and identityfunctions. This case means that they are curve fitting or curve approximationmethods.FOD concept was defined in [10].The deficiencies of Euler, RiemannLiouville, Grunwald-Letnikov, Oldham-Spanier, Miller-Ross, Kolwankar-Gangal,and Caputo methods were illustrated in this study. In this study, the conceptof FOD and its relationships with complex functions was handled.

Makale detayları

FRACTIONAL ORDER DERIVATIVE AND RELATIONSHIP BETWEEN DERIVATIVE AND COMPLEX FUNCTIONS

Yazarlar: ALİ KARCI | AHMETKARADOĞAN

Yayıncı: Murat TOSUN

Dergi: Mathematical Sciences and Applications E-Notes 2014 Vol.2 Issue 1, pp.44-54

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: İngilizce

Document ID (Org No.): 2000542385

Sıklık: Üç Aylık

eISSN: 2147-6268

Sayı

Yazarlar:

ALİ KARCI | AHMETKARADOĞAN

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2014 Vol.2 Issue 1, pp.44-54

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

İngilizce

Document ID (Org No.):

2000542385

Sıklık:

Üç Aylık

eISSN:

2147-6268