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<p>In this paper, we consider a class of control systems governed by fractional differential inclusions with impulsive effects in Banach space. By using the infinitesimal generator in semigroup theory and the fixed point strategy, a set of sufficient conditions in two cases is formulated, which guarantees the controllability of fractional differential inclusion with impulsive effects. The results are established under the assumption that the associated system is controllable. An example is provided to illustrate the application of the obtained theory.</p>

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Controllability of Impulsive Fractional-Neutral Differential Inclusion with Infinite Delay

  • 期刊论文

  • 发表日期：

    2025年2月28日

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  • G. Jothilakshmi,
  • B. Sundara Vadivoo

摘要

In this paper, we consider a class of control systems governed by fractional differential inclusions with impulsive effects in Banach space. By using the infinitesimal generator in semigroup theory and the fixed point strategy, a set of sufficient conditions in two cases is formulated, which guarantees the controllability of fractional differential inclusion with impulsive effects. The results are established under the assumption that the associated system is controllable. An example is provided to illustrate the application of the obtained theory.