Solutions of Impulsive Fractional Neutral Functional Differential Equation

Abstract

The existence of mild solution for impulsive fractional neutral differential equations is in the initial stage. The recent surge in developing the theory of fractional differential equations has motivated the present work. So we study semi-linear fractional neutral differential equations in a Banach space. By the analytic semi-group theory and fixed point theory, we obtain the existence of mild solution to the equations under given conditions.