A Kamenev-type oscillation result for a linear (1+α)(1+α)-order fractional differential equation

We investigate the eventual sign changing for the solutions of the linear equation x(α)′+q(t)x=0,t⩾0, when the functional coefficient q   satisfies the Kamenev-type restriction limsupt→+∞1tε∫t0t(t-s)εq(s)ds=+∞ for some ε>2,t0>0ε>2,t0>0. The operator x(α)x(α) is the Caputo differential operator and α∈(0,1)α∈(0,1).