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<p>This study focuses on determining the essential conditions for achieving controllability of the Hilfer-Langevin dynamical nonlocal system under specific conditions. The findings were derived using a sequencing technique in combination with the concept of an integral contractor. In contrast to earlier studies, our approach does not rely on assuming a Lipschitz condition for the nonlinear function to ensure precise controllability results. The theoretical findings are illustrated with an example, and their relevance is further explored through an application to electrical circuit analysis involving the Hilfer-Langevin fractional system.</p>

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Hilfer-Langevin System - Results on Controllability and its Application to RLC Circuit

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • N. Valliammal,
  • K. Jothimani,
  • V. Vijayakumar

摘要

This study focuses on determining the essential conditions for achieving controllability of the Hilfer-Langevin dynamical nonlocal system under specific conditions. The findings were derived using a sequencing technique in combination with the concept of an integral contractor. In contrast to earlier studies, our approach does not rely on assuming a Lipschitz condition for the nonlinear function to ensure precise controllability results. The theoretical findings are illustrated with an example, and their relevance is further explored through an application to electrical circuit analysis involving the Hilfer-Langevin fractional system.