How to obtain inverse Laplace transformation for the following function

Question

During solving convection-diffusion equation using Laplace transformation, I obtained the following as a part of the solution in Laplace time-domain. I wonder if it can be transformed into the real-time domain. $$\mathcal{L}^{-1}\left\{\frac1{s}\ e^{ -{ a \sqrt{b + c\ (d \sqrt{s} + s})}} \right\}$$