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<p>The primary objective of this work is to explore the controllability results for the higher-order nonlinear integro-differential fractional dynamical system by utilizing Caputo operator. We investigate the controllability of the system by demonstrating a controllability Grammian matrix with the help of a control function. We discuss the sufficient conditions for the considered nonlinear system concerned to be controllable by employing the successive approximation technique. In addition, an example is illustrated to emphasize the applicability of the derived results.</p>

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The higher-ordered nonlinear damped fractional integro-differential dynamical framework: controllability analysis

  • 期刊论文

  • 发表日期：

    2025年2月4日

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  • Kirti Kaushik,
  • Anoop Kumar,
  • Aziz Khan,
  • Thabet Abdeljawad

摘要

The primary objective of this work is to explore the controllability results for the higher-order nonlinear integro-differential fractional dynamical system by utilizing Caputo operator. We investigate the controllability of the system by demonstrating a controllability Grammian matrix with the help of a control function. We discuss the sufficient conditions for the considered nonlinear system concerned to be controllable by employing the successive approximation technique. In addition, an example is illustrated to emphasize the applicability of the derived results.