Hello!

Could anyone help me solve the problem below? I've tried it all day but I have stuck. Thanks a lot!

Problem

Find the inverse Laplace transform of {(e^(-a/s))/Sqrt[s]}, a>0, knowing that InverseLaplaceTransform{(e^(-1/s))/Sqrt[s]} = (cos(2Sqrt[t]))/Sqrt[Pi*t]