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<p>This research investigates the controllability properties of nonlinear Hilfer fractional damped systems modeled using Caputo-type fractional derivatives within a finite-dimensional framework. The main results are established through the application of the Mittag-Leffler matrix function in combination with an iterative technique. The examples are provided to support the theoretical findings.</p>

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A Class of Nonlinear Hilfer Fractional Differential Control System with Distributed Delay and Damping

  • 期刊论文

  • 发表日期：

    2025年9月18日

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

摘要

This research investigates the controllability properties of nonlinear Hilfer fractional damped systems modeled using Caputo-type fractional derivatives within a finite-dimensional framework. The main results are established through the application of the Mittag-Leffler matrix function in combination with an iterative technique. The examples are provided to support the theoretical findings.