Higher order multi-term time-fractional partial differential equations involving Caputo-Fabrizio derivative

Abstract

In this work we discuss higher order multi-term partial differential equation (PDE) with the Caputo-Fabrizio fractional derivative in time. Using method of separation of variables, we reduce fractional order partial differential equation to the integer order. We represent explicit solution of formulated problem in particular case by Fourier series.

Keywords

• Fractional differential equations
• separation of variables
• Caputo-Fabrizio derivative