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.

Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations

“…Fractional calculus and impulsive fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of complex medium, viscoelasticity, heat conduction, electricity mechanics, control theory, for more details on this topics see, for instance, [1,7,9,12,15,21,26,34] and the references therein.…”