Abstract:
In this paper, we investigated the following fractional Neumann boundary value problem CDα0+u(t)-λu(t) = f(t; u(t)); u'(0) = u'(1) = 0; 1 < α < 2, λ= 0; where CDαa+ is the fractional Caputo derivative. We proved the existence of at least one mild solution and we determined when this solution is unique for suitable assumptions on the function f. © 2013 by Eudoxus Press,LLC,all rights reserved.