Scholarlink

This article investigates the existence and controllability aspects of two distinct classes of second-order functional integro-differential inclusions, with a specific focus on the incorporation of infinite delay. Utilizing a stochastic framework and a random fixed-point theorem, the study demonstrates the existence of mildly random solutions to this intricate problem. Furthermore, the article presents rigorous proofs affirming the controllability of these challenges, even in the presence of complexities introduced by infinite delay. To illustrate the practical application of the theory, an example is provided, showcasing its efficacy in managing systems with infinite delay in a controlled environment.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analyzing Existence and Controllability in Second-Order Functional Integro-Differential Inclusions with Infinite Delay and Random Effects

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Murugan Suba,
  • Arikrishnan Venkatesan,
  • Tharmalingam Gunasekar,
  • Srinivasan Madhumitha,
  • Prabakaran Raghavendran,
  • Shyam Sundar Santra,
  • Prodipto Dhali

摘要

This article investigates the existence and controllability aspects of two distinct classes of second-order functional integro-differential inclusions, with a specific focus on the incorporation of infinite delay. Utilizing a stochastic framework and a random fixed-point theorem, the study demonstrates the existence of mildly random solutions to this intricate problem. Furthermore, the article presents rigorous proofs affirming the controllability of these challenges, even in the presence of complexities introduced by infinite delay. To illustrate the practical application of the theory, an example is provided, showcasing its efficacy in managing systems with infinite delay in a controlled environment.