On the oscillation of fractional differential equations

Abstract

In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form D qa x + f 1(t, x) = v(t) + f 2(t, x), lim t→a + J 1-qa x(t) = b 1, where D qa denotes the Riemann-Liouville differential operator of order q, 0 < q ≤ 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo's differential operator. © 2012 Diogenes Co., Sofia.