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

We investigate the eventual sign changing for the solutions of the linear equation $\left(x^{(α)}\right)^{\prime}+q(t)x=0$, $t\geq0$, when the functional coefficient $q$ satisfies the Kamenev-type restriction $\limsup\limits_{t\rightarrow+\infty}\frac{1}{t^{\varepsilon}}\int_{t_0}^{t}(t-s)^{\varepsilon}q(s)ds=+\infty$ for some $\varepsilon>2$, $t_{0}>0$. The operator $x^{(α)}$ is the Caputo differential operator and $α\in(0,1)$.

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