An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators

Yong-Ki Ma; J Pradeesh; Anurag Shukla; V Vijayakumar; K Jothimani

doi:10.1016/j.heliyon.2023.e20837

An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators

Heliyon. 2023 Oct 13;9(10):e20837. doi: 10.1016/j.heliyon.2023.e20837. eCollection 2023 Oct.

Authors

Yong-Ki Ma¹, J Pradeesh², Anurag Shukla³, V Vijayakumar², K Jothimani²

Affiliations

¹ Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea.
² Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamilnadu, India.
³ Department of Applied Sciences, Rajkiya Engineering College Kannauj, Kannauj 209732, India.

Abstract

This article focuses on the approximate controllability of impulsive neutral stochastic integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point approaches, and semigroup theory to achieve the article's main results. First, we focus on the existence of approximate controllability, and we develop the existence results with nonlocal conditions. At last, an application is provided to illustrate the concept.

Keywords: 34A60; 47G20; 54H25; 93B05; 93E03; Approximate controllability; Fixed point theorem; Nonlocal conditions; Resolvent operator; Semigroup theory; Stochastic integrodifferential inclusions.