Scholarlink

<p>This article mainly focuses into the study of time optimal control for stochastic differential inclusions incorporating the Hilfer fractional derivative in Hilbert spaces. The investigation begins by employing a mathematical framework that integrates fractional calculus, semigroup theory, stochastic analysis, multivalued analysis, and Bohnenblust–Karlin’s fixed point theorem to establish the existence of mild solutions for the system. Building on this foundation, the time optimal control results are analyzed, providing deeper insights into the behavior of the system under optimal control constraints. To demonstrate the theoretical results, this study concludes with a detailed application, showcasing the applicability and effectiveness of the proposed methods.</p>

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

Results on the existence and time optimal control results for Hilfer fractional stochastic differential inclusions in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年1月27日

查看全文
  • A. Dhanush,
  • V. Vijayakumar

摘要

This article mainly focuses into the study of time optimal control for stochastic differential inclusions incorporating the Hilfer fractional derivative in Hilbert spaces. The investigation begins by employing a mathematical framework that integrates fractional calculus, semigroup theory, stochastic analysis, multivalued analysis, and Bohnenblust–Karlin’s fixed point theorem to establish the existence of mild solutions for the system. Building on this foundation, the time optimal control results are analyzed, providing deeper insights into the behavior of the system under optimal control constraints. To demonstrate the theoretical results, this study concludes with a detailed application, showcasing the applicability and effectiveness of the proposed methods.