The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator

Abstract

. In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators. To obtain the result, we used Kuratowski’s non-compactness measure theory, the Cauchy criterion and the Gronwall inequality. Mathematics subject classi fi cation (2020): 26A33, 34A08, 34A12, 47H08