Existence and exact controllability results of nonlocal integro-differential neutral stochastic system with finite delay

被引：3
|
作者：
Sharma, Om Prakash Kumar [1 ]
Vats, Ramesh Kumar [1 ]
Kumar, Ankit [2 ]
机构：
[1] Natl Inst Technol Hamirpur, Dept Math & Sci Comp, Hamirpur 177005, HP, India
[2] Graph Era Hill Univ, Dept Math, Dehra Dun 248002, UK, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 01期
关键词：
Measure of noncompactness; Stochastic system; Integro-differential; Monch's condition; Semigroup theory; Controllability; Nonlocal conditions; Neutral; Finite delay; DIFFERENTIAL-EQUATIONS; EVOLUTION EQUATIONS;
D O I：
10.1007/s41478-023-00675-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper aims to establish a new set of sufficient conditions for the existence and exact controllability of nonlocal fractional integro-differential neutral stochastic system involving finite delay in a separable Hilbert space. Firstly, we establish sufficient conditions for the mild solution of the system and then established the controllability results by means of fractional calculus, semigroup theory and Mainardii's Wright type function, principles of stochastic systems, measure of noncompactness. Finally, we provide an example to illustrate our main findings.
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页码：573 / 595
页数：23
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