On a fractional differential equation with infinitely many solutions
  We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, where $\alpha\in(0,1)$ and $g(0)=0$, that leads to the existence of an infinity of solutions starting from $x(0)=0$. The operator $x^{(\alpha)}$ is the Caputo differential operator. 
Dumitru B\u{a}leanu, Octavian G. Mustafa and Donal O'Regan
math-ph math.MP