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

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

• Approximate controllability
• Stochastic integrodifferential inclusions
• Semigroup theory
• Resolvent operator
• Nonlocal conditions
• Fixed point theorem