On the oscillatory behavior of solutions of nonlinear fractional differential equations

The study of oscillation theory for fractional differential equations has been initiated by Grace et.al. [14]. In this paper we establish some new criteria for the oscillation of fractional differential equations with the Caputo derivative of the formcDaαx(t)=e(t)+f(t,x(t)),a>1,α∈(1,2).We also present the conditions under which all solutions of this equation are asymptotic to at + b as t → ∞ for some real numbers a, b. We shall employ a different technique rather than that in [14].