Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators

Abstract

In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations. The working tools are based on the fixed point theorem and fractional powers of operators. An application to impulsive integro-differential equations is presented.

Keywords

• Impulsive integro-differential equation
• pseudo almost periodicity
• fractional powers of operators
• classical solution