Oscillation criteria for a certain class of fractional order integro-differential equations

Abstract

In this paper, we shall give some new results about the oscillatory behavior of nonlinear fractional order integro-di?erential equations with forcing term v(t) of form D ? a x(t) = v(t)? Zt a K(t, s)F(s, x(s))ds, 0 < ? < 1, lim t?a+ J 1?? a x(t) = b1, where v, K and F are continuous functions, b1 ? R, and D ? a and J 1?? a denote the Riemann-Liouville fractional order di?erential and integral operators respectively.