Generalized cauchy problem: caputo type
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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.