I'm looking for references about evolution equations with "convolution coefficients", that is to say PDEs that looks like $$ a(t)*\frac{\partial}{\partial t} u(t) = b(t) * A u(t)$$ where $A$ is a differential operator (with respect to the space variables), where $a$ and $b$ are functions/distributions of the time variable $t$ and where $*$ stands for the convolution product with respect to $t$.
Maybe I don't use the correct key words, because I can't find anything...
Any help would be appreciated !
