Well-posedness and Hyers-Ulam results for a class of impulsive fractional evolution equations

被引：13
|
作者：
Waheed, Hira [1 ]
Zada, Akbar [1 ]
Xu, Jiafa [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Pakistan
[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 01期
基金：
中国博士后科学基金;
关键词：
Diaz-Margolis's fixed-point theorem; fractional evolution equation; noninstantaneous impulses; PC-mild solutions; Ulam-type stability; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; STABILITY; EXISTENCE;
D O I：
10.1002/mma.6784
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we establish a new class of nonlinear implicit fractional evolution equation with integrable impulses. We investigate the qualitative properties ofPC-mild solution of the proposed problem. The results are obtained using the theory of probability density functions, operators semigroup, and fixed-point criteria. The main theoretical results are well demonstrated with the help of an example.
引用
收藏
页码：749 / 771
页数：23
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