Ping Zhao, Zhen Lai Han, Yi Zhuo Wang, Shu-Rong Sun

Oscillation theorems for fractional neutral differential equations

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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.

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