On a nonlocal boundary-value problem for the generalized Mckendrick – von Foerster equation

For the generalized McKendrick – von Foerster equation with the operator of fractional differentiation in the sense of Riemann – Liouville, we consider a non-local boundary value problem with an integral condition. The dynamics of population size and age structure relation is investigated. The existence and uniqueness theorem for the problem is proved.