Existence of mild solution of Atangana-Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions

被引：36
|
作者：
Kumar, Ashish [1 ]
Pandey, Dwijendra N. [1 ]
机构：
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 132卷
关键词：
Atangana-Baleanu derivative; Fractional differential equations; Fixed point theorems; MODEL;
D O I：
10.1016/j.chaos.2019.109551
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this article is to provide the set of sufficient conditions for the existence of mild solution of Atangana-Baleanu fractional differential system with non-instantaneous impulses. Results are obtained via non-compactness of the semigroup and fixed point theory. In the end, an example is given to justify the theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：6
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