Boundary value problem for the loaded McKendrick – von Foerster equation of fractional order

The paper considers the loaded McKendrick-von Foerster equation of fractional order, which characterizes the population dynamics with age structure taking migration into account. The boundary value problem in the rectangular domain is studied. The solution is found by reduction to the Volterra integral equation of the 2nd kind. The existence and uniqueness theorem of the problem under study is provedn.