Existence of Mild Solutions for a Class of Hilfer Fractional Evolution Equations with Nonlocal Conditions

被引：0
|
作者：
Min Yang
Qiru Wang
机构：
[1] Sun Yat-sen University,School of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 34A12; Secondary 26A33; 34A08; Hilfer fractional evolution equations; mild solutions; fixed-point theorem; noncompact measure;
D O I：
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学科分类号：
摘要：
In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild solutions when the associated semigroup is compact or not.
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页码：679 / 705
页数：26
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