Existence of solutions for neutral functional differential evolution equations with nonlocal conditions Original Research Article

In this paper, by using fractional power of operators and Sadovskiiʹs fixed point theorem, we study the existence of mild and strong solutions of semilinear neutral functional differential evolution equations with nonlocal conditions. The results we obtained are a generalization and continuation of the recent results on this issue. In the end, an example is given to show the application of our results.