EXISTENCE OF MILD SOLUTIONS FOR A CLASS OF HILFER FRACTIONAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

被引：82

作者：

Yang, Min ^{[1
]}

Wang, Qiru ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 03期

关键词：

Hilfer fractional evolution equations; mild solutions; fixed-point theorem; noncompact measure; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEMS;

D O I：

10.1515/fca-2017-0036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the non-compact 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.

引用

页码：679 / 705

页数：27

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