Trajectory Controllability of Impulsive Neutral Stochastic Functional Integrodifferential Equations Driven by fBm with Noncompact Semigroup via Mönch Fixed Point

被引：1

作者：

Kasinathan, Ramkumar ^{[1
]}

Kasinathan, Ravikumar ^{[1
]}

Chalishajar, Dimplekumar ^{[2
]}

Sandrasekaran, Varshini ^{[3
]}

Baleanu, Dumitru ^{[4
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, India

[2] Virginia Mil Inst, Dept Appl Math, Lexington, VA 24450 USA

[3] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, India

[4] Cankaya Univ, Dept Math, Ankara, Turkiye

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / 02期

关键词：

T-controllability; Impulsive neutral stochastic integrodifferential system; Noncompact semigroup; Monch fixed point; Resolvent operator; DELAY EVOLUTION-EQUATIONS; EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s12346-023-00917-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to study the mild solutions for a class of impulsive neutral stochastic functional integrodifferential equations driven by fractional Brownian motion using noncompact semigroup in a Hilbert space. We assume that the linear part has a resolvent operator not necessarily compact but the operator norm is continuous. Sufficient conditions for the existence of mild solutions are obtained using the Hausdorff measure of noncompactness and the Monch fixed point theorem. Furthermore, under some suitable assumptions, the considered system's trajectory (T-) controllability is established using generalized Gronwall's inequality. An example is delivered to illustrate the obtained theoretical results. Finally, real life fermentation example is discussed to supporting the proposed system.

引用

页数：27

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