Controllability of Hilfer Fractional Noninstantaneous Impulsive Differential Inclusions in Banach Spaces

  • Ibtissem Hammoumi Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria
  • Abdelkrim Salim Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria
  • Hadda Hammouche Laboratory of Mathematics and Applied Sciences, University of Ghardaia, 47000, Algeria
  • Mouffak Benchohra Laboratory of Mathematics, University of Sidi Bel-Abbès, PO Box 89, 22000 Sidi Bel-Abbès, Algeria

Анотація

У цій роботі ми досліджуємо існування та керованість дробових диференціальних включень Хілфера з немиттєвими імпульсами в банахових просторах. Аналіз проведено з використанням різноманітних математичних інструментів та версії теореми Мьонча про нерухому точку для багатозначних функцій, яка спирається на кілька властивостей міри некомпактності Куратовського. Для демонстрації застосовності наших результатів ми завершуємо дослідження детальним прикладом.

Mathematical Subject Classification 2020: 34A08, 34A60, 34H05

Ключові слова:

міра некомпактності, теорія нерухомої точки, дробове числення

Посилання

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I. Hammoumi, A. Salim, H. Hammouche, M. Benchohra, Controllability of Hilfer Fractional Noninstantaneous Impulsive Differential Inclusions in Banach Spaces, Журн. мат. фіз. анал. геом. 22 (2026), 158–188.

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