On the new concept of solutions and existence results for impulsive fractional evolution equations (Q1927238)

The paper is concerned with the existence of PC-mild solutions for Cauchy problems for impulsive fractional evolution equations involving the Caputo fractional derivative. The paper is organised as follows: following preliminaries, in which the authors introduce the notations and review existing literature, the authors present the concept of the PC-mild solution. They provide existence results for impulsive Cauchy problems and for impulsive nonlocal Cauchy problems and conclude the paper with some examples to illustrate the theory.