Analysis of a system of multi-term fractional differential equations with polynomial coefficients
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
In this paper we present analysis of the system of fractional differential equations, where 0 < ?j < 1, D?j is the standard Riemann-Liouville fractional derivative and pj (t) = PNj k=0 ajkt k , j = 1, 2, · · · , n?1. Further we discuss the initial value problem for nonlinear system, where f : W(? R × Rm) ?? Rm. It is shown that for f bounded, continuous and Lipschitz in the second variable, there exists unique solutions. The dependence of solutions on initial conditions has also been discussed. Riemann-Liouville fractional derivative/integral are defined below. Let f ? C[a, b], the expression.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Babakhani, A. (2009). Analysis of a system of multi-term fractional differential equations with polynomial coefficients. Maltepe Üniversitesi. s. 116.
