Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

Abstract

In this article, we introduce a non-instantaneous impulsive operator associated with the heat semigroup and give some basic properties. We derive an abstract formula for the solutions to non-instantaneous impulsive heat equations. Also we show the existence and uniqueness of the non-homogeneous periodic trajectory.

Keywords

• non-homogeneous periodic trajectory
• heat equation
• non-instantaneous impulsive