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Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise

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  • Ahmed, Hamdy M.
  • Zhu, Quanxin

Abstract

In this study, we deal with the control system described by nonlocal Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and non-smooth analysis, nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate the obtained results.

Suggested Citation

  • Ahmed, Hamdy M. & Zhu, Quanxin, 2023. "Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise," Statistics & Probability Letters, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:stapro:v:195:y:2023:i:c:s0167715223000056
    DOI: 10.1016/j.spl.2023.109781
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    References listed on IDEAS

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