Monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions

被引：6
|
作者：
Gou, Haide [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2021年 / 167卷
基金：
中国国家自然科学基金;
关键词：
Lower and upper solution; Mild solutions; Hilfer fractional derivative; Noncompact measure; EXISTENCE;
D O I：
10.1016/j.bulsci.2021.102946
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2021 Elsevier Masson SAS. All rights reserved.
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页数：29
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