1206.6226 (Dumitru Băleanu et al.)

On a fractional differential equation with infinitely many solutions    [PDF]

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

We present a set of restrictions on the fractional differential equation $x^{(\alpha)}(t)=g(x(t))$, $t\geq0$, 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.

View original: http://arxiv.org/abs/1206.6226