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Oscillation criteria for nth order differential equations with deviating arguments of the form x n−1 t α−1 x n−1 t + F t x g t = 0 neven are established, where g ∈ C t 0 ∞ F ∈ C t 0 ∞ × , and α > 0 is a constant. 

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 formwhere D q a 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.MSC 2010 : Primary 34A08: Secondary 34C10, 26A33

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New oscillation criteria for the second-order Emden-Fowler delay differential equation with a sublinear neutral term are presented. An essential feature of our results is that oscillation of the studied equation is ensured via only one condition. Furthermore, as opposed to the results by Agarwal et al. criteria can be applied to Emden-Fowler delay differential equations with noncanonical operators and a sublinear neutral term. Our results essentially improve, extend, and simplify some known ones reported in the literature. The results are illustrated with examples. K E Y W O R D S delayed argument, Emden-Fowler differential equation, oscillation, second-order, sublinear neutral term M S C ( 2 0 1 0 ) 34C10, 34K11

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