Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions

Abstract This paper is concerned with the existence of extremal mild solutions for Hilfer fractional evolution equations with nonlocal conditions in an ordered Banach space E. By employing the method of lower and upper solutions, the measure of noncompactness, and Sadovskii’s fixed point theorem, we...

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Bibliographic Details
Main Authors: Haide Gou, Yongxiang Li
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-019-01298-z