Caputo-Fabrizio fractional differential equations with instantaneous impulses

Abstract

The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.

Keywords

• fractional differential equation
• caputo-fabrizio integral of fractional order
• caputo-fabrizio fractional derivative
• instantaneous impulse
• measure of noncompactness
• fixed point