College of Mathematics and Statistics, Northwest Normal University
Abstract:
The purpose of this paper is concerned with the existence of mild $L$-quasi-solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach spaces $E$. By employing mixed monotone iterative technique, measure of noncompactness and Sadovskii"s fixed point theorem, we obtain the existence of mild $L$-quasi-solutions for Hilfer fractional evolution equations
with noncompact semigroups. Finally, an example is provide to illustrate the feasibility of our main results.