On coupled systems of fractional impulsive differential equations by using a new Caputo-Fabrizio fractional derivative

Abstract

In this paper, we investigate the existence and uniqueness of solutions for coupled system of Caputo-Fabrizio fractional impulsive differential equations using the fixed point approach in generalized metric spaces. The compactness of solution sets of the system is also investigated. An example is provided to illustrate the developed theory.

Keywords

• fractional impulsive differential equations
• caputo-fabrizio fractional derivative
• fixed point principle
• generalized metric space