Abstract The study of oscillation theory for fractional differential equations has been initiated by Grace et al. [5]. In this paper we establish some new criteria for the oscillation of fractional differential equations with the Caputo derivative of the form D a r C x ( t ) = e ( t ) + f ( t , x ( t ) ) , t > 0 , a > 1 {{}^{C}D_{a}^{r}x(t)=e(t)+f(t,x(t)),t>0,a>1} , where r = α + n - 1 , α ∈ ( 0 , 1 ) {r=\alpha+n-1,\alpha\in(0,1)} , and n ≥ 1 {n\geq 1} is a natural number. We also present the conditions under which all solutions of this equation are asymptotic to t n - 1 {t^{n-1}} as t → ∞ {t\to\infty} .