Laplace Transform (3)

Hi For All;
I need the solution of the following question:
Solve by Laplace transform the Abel integral equation of the second Kind
$g(s)=s^{-1/2}e^{-a/4s}+\frac{i}{\sqrt{\pi}}\int_0^s\!\frac{\ g(t) }{(s-t)^{1/2}}\, dt .$
Best wishes