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<p>In this article, we discuss the problem of approximate controllability of Hilfer fractional stochastic differential inclusions with a non-dense domain in a Hilbert space. We employ fixed point techniques, semigroup theory, multivalued analysis, and fractional calculus to establish the main results. We then use the Bohnenblust-Karlin’s fixed point theorem to provide existence criteria for this inclusion system under certain appropriate conditions. Finally, an example is provided to illustrate the main conclusions. Our results are new, even when applied to the corresponding fractional differential inclusions found in the existing literature.</p>

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An investigation on the approximate controllability of non-densely defined Hilfer fractional stochastic differential inclusions in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年7月25日

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  • A. Priyadharshini,
  • V. Vijayakumar

摘要

In this article, we discuss the problem of approximate controllability of Hilfer fractional stochastic differential inclusions with a non-dense domain in a Hilbert space. We employ fixed point techniques, semigroup theory, multivalued analysis, and fractional calculus to establish the main results. We then use the Bohnenblust-Karlin’s fixed point theorem to provide existence criteria for this inclusion system under certain appropriate conditions. Finally, an example is provided to illustrate the main conclusions. Our results are new, even when applied to the corresponding fractional differential inclusions found in the existing literature.