I'm looking for a solution to the following integral.

$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $b,c,d,e> 0$ and $0< a < \lambda < y$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).