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-differential equations with forcing term v(t) of form D(a)(alpha)x(t) = v(t) - integral(t)(a) K(t,s)F(s,x(s))ds, 0<alpha<1, lim(t -> a+) J(a)(1-alpha) x(t) = b(1) , where v, K and F are continuous functions, b(1) is an element of R, and D-a(alpha) and J(a)(1-alpha) denote the Riemann-Liouville fractional order differential and integral operators respectively.