Analysis and application of diffusion equations involving a new fractional derivative without singular kernel

Abstract

In this article, a family of nonlinear diffusion equations involving multi-term Caputo-Fabrizio time fractional derivative is investigated. Some maximum principles are obtained. We also demonstrate the application of the obtained results by deriving some estimation for solution to reaction-diffusion equations.

Keywords

• Caputo-Fabrizio derivative
• maximum principle
• multi-term time fractional diffusion equations