Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

被引：38
|
作者：
Bedi, Pallavi [1 ]
Kumar, Anoop [1 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
Khan, Aziz [2 ]
机构：
[1] Cent Univ Punjab, Dept Math & Stat, Bathinda, Punjab, India
[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung, Taiwan
[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Hilfer fractional derivative; Noninstantaneous impulsive conditions; Hausdorff measure of noncompactness; Resolvent operator functions; DIFFERENTIAL-EQUATIONS; OPERATORS;
D O I：
10.1186/s13662-020-02615-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space. We obtain the existence results by applying the theory of resolvent operator functions, Hausdorff measure of noncompactness, and Sadovskii's fixed point theorem. We also present an example to show the validity of obtained results.
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页数：16
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