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<p>This paper examines the trajectory controllability of a conformable Sobolev-type stochastic inclusion system with deviating argument and Clarke subdifferential driven by Poisson jumps within the Hilbert space. This study explores the existence of mild solutions for the presented system through the fractional calculus, stochastic analysis, and the multi-valued fixed point theorem. In addition, the trajectory controllability of the considered system is presented by defining a suitable feedback controller and using the generalized Gronwall’s inequality. Finally, an example is furnished that illustrates the constructed theory.</p>

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Existence and trajectory controllability results for conformable stochastic system with multivalued operators and jump perturbations

  • 期刊论文

  • 发表日期：

    2025年8月11日

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  • K. Anukiruthika,
  • P. Muthukumar

摘要

This paper examines the trajectory controllability of a conformable Sobolev-type stochastic inclusion system with deviating argument and Clarke subdifferential driven by Poisson jumps within the Hilbert space. This study explores the existence of mild solutions for the presented system through the fractional calculus, stochastic analysis, and the multi-valued fixed point theorem. In addition, the trajectory controllability of the considered system is presented by defining a suitable feedback controller and using the generalized Gronwall’s inequality. Finally, an example is furnished that illustrates the constructed theory.