Existence results for Riemann-Liouville fractional neutral evolution equations

In this paper, by using the fractional power of operators and the theory of measure of noncompactness, we discuss a class of fractional neutral evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the existence of mild solutions for fractional neutral evolution equations in the cases C0 semigroup is compact or noncompact. We give an example to illustrate the applications of the abstract results.