Abstract
This article focuses on the existence of extremal mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach spaces E. By using a monotone iterative method in the presence of lower and upper solutions, we obtain some existence results of extremal mild solutions for Hilfer fractional evolution equations involving noncompact semigroups. Finally, an example is given to illustrate the effectiveness of the abstract results.
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