Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations

被引：0
|
作者：
Pallavi Bedi
Anoop Kumar
Thabet Abdeljawad
Aziz Khan
机构：
[1] Central University of Punjab,Department of Mathematics and Statistics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Hilfer fractional derivative; Noninstantaneous impulsive conditions; Hausdorff measure of noncompactness; Resolvent operator functions; 26A33; 34A12; 34K40; 47H08;
D O I：
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学科分类号：
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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