CONTROLLABILITY OF HILFER TYPE FRACTIONAL EVOLUTION NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH NON-INSTANTANEOUS IMPULSES

被引：4
|
作者：
Sanjay, K. [1 ]
Balasubramaniam, P. [1 ]
机构：
[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年
关键词：
Hilfer fractional derivatives; controllability; differential inclusions; fixed point theorem; non-instantaneous impulsive; DIFFERENTIAL-EQUATIONS;
D O I：
10.3934/eect.2022043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript the controllability of Hilfer fractional neutral differential inclusions with non-instantaneous impulse in Banach space is investigated by using semi-group theory, fractional calculus, upper semi-continuous (u.s.c), multi-functions and Monch fixed point theorem. Sufficient conditions are derived by using Hausdorff measure of non-compactness (MNC). Further, the obtained result is illustrated by an example.
引用
收藏
页码：600 / 625
页数：26
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