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<p>This paper is devoted to studying the partial approximate controllability (PAC) of Hilfer fractional stochastic differential (HFSD) system with nonlocal conditions. By combining fractional calculus, semigroup concept, stochastic analysis principle, approximation strategy, and fixed point technique, we achieve the compactness of the approximate solution set and present the approximate problem of the control system. In the end, we offer an instance to demonstrate our theoretical findings on the semilinear system’s PAC.</p>

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Partial Approximate Controllability of Hilfer Fractional Stochastic Differential System with Nonlocal Conditions

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • K. Nandhaprasadh,
  • S. Sivasankar,
  • R. Udhayakumar

摘要

This paper is devoted to studying the partial approximate controllability (PAC) of Hilfer fractional stochastic differential (HFSD) system with nonlocal conditions. By combining fractional calculus, semigroup concept, stochastic analysis principle, approximation strategy, and fixed point technique, we achieve the compactness of the approximate solution set and present the approximate problem of the control system. In the end, we offer an instance to demonstrate our theoretical findings on the semilinear system’s PAC.