Sorry that no one replies. I got an integration form of the above inverse Laplace Transformation. But the integral cannot be expressed using elementary functions.
I really appreciate if anyone could indicate me how to handle this inverse Laplace transformation (ILT):
L-1[Exp(-c0*Sqrt(a(s)))/Sqrt(a(s))]
where
a(s)=(s2+c1s)/(c2s+c3)
c0,c1,c2,c3 are all constants.
I searched some literatures regarding the ILT of Exp funtions but no such form. I used...