Oscillation theorems for fractional neutral differential equations

Yi-zhuo Wang; Zhen-lai Han; Ping Zhao; Shu-rong Sun

Araştırma Makalesi

Yıl 2015, Cilt: 44 Sayı: 6, 1477 - 1488, 01.12.2015

Yi-zhuo Wang Zhen-lai Han , Ping Zhao Shu-rong Sun

Öz

Kaynakça

.

Oscillation theorems for fractional neutral differential equations

Yıl 2015, Cilt: 44 Sayı: 6, 1477 - 1488, 01.12.2015

Yi-zhuo Wang Zhen-lai Han , Ping Zhao Shu-rong Sun

Öz

In this paper we study the oscillation of the fractional neutral differential equation $$D^\alpha_t[a(t)D^\alpha(x(t)+p(t)x(\tau(t)))]+q(t)x(\sigma(t))=0,$$ where $D^\alpha_t$ is a modified Riemann-Liouville derivative. The obtained
results are based on the new comparison theorems, which enable us to
reduce the oscillatory problem of 2α-order fractional differential equation to the oscillation of the first order equation. The results are easily
verified.

Anahtar Kelimeler

Oscillation, fractional differential equation, modified Riemann-Liouville derivative, comparison theorem

Kaynakça

.

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	Yi-zhuo Wang Zhen-lai Han Ping Zhao Shu-rong Sun
Yayımlanma Tarihi	1 Aralık 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 6

Kaynak Göster

APA	Wang, Y.-z., Han, Z.-l., Zhao, P., Sun, S.-r. (2015). Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics, 44(6), 1477-1488.
AMA	Wang Yz, Han Zl, Zhao P, Sun Sr. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. Aralık 2015;44(6):1477-1488.
Chicago	Wang, Yi-zhuo, Zhen-lai Han, Ping Zhao, ve Shu-rong Sun. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics 44, sy. 6 (Aralık 2015): 1477-88.
EndNote	Wang Y-z, Han Z-l, Zhao P, Sun S-r (01 Aralık 2015) Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics 44 6 1477–1488.
IEEE	Y.-z. Wang, Z.-l. Han, P. Zhao, ve S.-r. Sun, “Oscillation theorems for fractional neutral differential equations”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 6, ss. 1477–1488, 2015.
ISNAD	Wang, Yi-zhuo vd. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics 44/6 (Aralık 2015), 1477-1488.
JAMA	Wang Y-z, Han Z-l, Zhao P, Sun S-r. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. 2015;44:1477–1488.
MLA	Wang, Yi-zhuo vd. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 6, 2015, ss. 1477-88.
Vancouver	Wang Y-z, Han Z-l, Zhao P, Sun S-r. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1477-88.