Monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions

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 extrema...

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2021-03, Vol.167, p.102946, Article 102946
Main Author: Gou, Haide
Format: Article
Language:English
Subjects:
Hilfer fractional derivative
Lower and upper solution
Mild solutions
Noncompact measure
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Summary: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.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2021.102946