It is well known that there exists no non-trivial bounded solution of $-y''+y=0$ in $\mathbb R.$ Is this result even true, the problem 
$$ \bigg(-\frac{d^2}{dx^2}\bigg)^{s} y+y=0  $$
has no bounded solution in $\mathbb R$ where $s\in (0, 1).$