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<p>There is a noticeable scarcity of research on non-instantaneous impulses involving fractional derivatives with varying lower limits. In addition, there is no link to this topic with differential inclusion. From this standpoint, this research focuses on the controllability and stability results for a specific class of fractional differential inclusion with non-instantaneous impulses that uses the Caputo–Katugampola fractional derivative with varying lower limit. Nonlinear alternative of the Leray-Schauder type and the technique of measures of noncompactness are used to present a new constructive results for the addressed system. Finally, a typical example is provided as an application to demonstrate the effectiveness of our theoretical results.</p>

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Controllability for non-instantaneous impulsive to fractional differential inclusions with varying lower limit

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Ahmed Salem

摘要

There is a noticeable scarcity of research on non-instantaneous impulses involving fractional derivatives with varying lower limits. In addition, there is no link to this topic with differential inclusion. From this standpoint, this research focuses on the controllability and stability results for a specific class of fractional differential inclusion with non-instantaneous impulses that uses the Caputo–Katugampola fractional derivative with varying lower limit. Nonlinear alternative of the Leray-Schauder type and the technique of measures of noncompactness are used to present a new constructive results for the addressed system. Finally, a typical example is provided as an application to demonstrate the effectiveness of our theoretical results.