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

On a higher order multi-term time-fractional partial differential equation involving Caputo-Fabrizio derivative