  In the present work we discuss higher order multi-term partial differential
equation (PDE) with the Caputo-Fabrizio fractional derivative in time. We
investigate a boundary value problem for fractional heat equation involving
higher order Caputo-Fabrizio derivatives in time-variable. Using method of
separation of variables and integration by parts, we reduce fractional order
PDE to the integer order. We represent explicit solution of formulated problem
in particular case by Fourier series.
