On a fractional differential equation with infinitely many solutions

Dumitru Băleanu, Octavian G. Mustafa, Donal O'Regan

We present a set of restrictions on the fractional differential equation $x^{(\alpha )}(t)=g(x(t))$, $t\ge 0$, where $\alpha \in (0,1)$ and $g(0)=0$, that leads to the existence of an infinity…