Generalized cauchy problem: caputo type

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

Fractional derivatives, or more precisely derivatives of arbitrary orders, have played a significant role in engineering, sciences, pure and applied mathematics in recent years. Several types of fractional derivative and integral have proposed. These definitions include Riemann-Liouville fractional derivative and integral. Grunwald-Letnikov, Weyl-Marchaud, Caputo and Riesz fractional derivative. In this research work we will generalize Cauchy problem to fractional derivative. We will introduce generalized cauchy problem (GCP) as two faces, left side GCP and right side GCP. In next section we will generalize numerical Euler method to GCP. The generalized numerical Euler method (GNEM) reduces to numerical Euler method (NEM) when GCP reduce to CP.

Açıklama

Anahtar Kelimeler

Kaynak

International Conference of Mathematical Sciences

WoS Q Değeri

Scopus Q Değeri

Cilt

Sayı

Künye

Parsian, H. (2009). Generalized cauchy problem: caputo type. Maltepe Üniversitesi. s. 198.