Semilinear fractional differential equations with infinite delay and non-instantaneous impulses

Abstract

In this article, we study the existence of mild solutions for a new class of impulsive semilinear fractional differential equations with infinite delay and non-instantaneous impulses in Banach spaces. The new results are obtained using suitable fixed point theorems and the technique of measures of noncompactness. An example is also given to illustrate the obtained theory.