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<p>This paper aims to explore the existence and time optimal control results for Hilfer fractional neutral stochastic differential equations in Hilbert spaces. Initially, we examine the existence results using semigroup theory, stochastic analysis, fractional calculus, and fixed point theorem. Then, we establish the existence of time optimal control results for the proposed system under certain conditions. Finally, we provide an example to illustrate our main results.</p>

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Time optimal control results for Hilfer fractional neutral stochastic differential equations

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • A. Dhanush,
  • V. Vijayakumar

摘要

This paper aims to explore the existence and time optimal control results for Hilfer fractional neutral stochastic differential equations in Hilbert spaces. Initially, we examine the existence results using semigroup theory, stochastic analysis, fractional calculus, and fixed point theorem. Then, we establish the existence of time optimal control results for the proposed system under certain conditions. Finally, we provide an example to illustrate our main results.