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Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces

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Abstract

In this paper, we study the existence of mild solution for impulsive fractional differential inclusions in Banach spaces involving the Hilfer derivative. Our study is based on the nonlinear alternative of Leray–Schauder type for multivalued maps due to Martelli. An example will be added to illustrate the main result.

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Author notes

  1. Ibtissem Hammoumi, Hadda Hammouche, Abdelkrim Salim and Mouffak Benchohra contributed equally to this work.

Authors and Affiliations

  1. Laboratory of Mathematics And Applied Sciences, University of Ghardaia, 47000, Ghardaia, Algeria

    Ibtissem Hammoumi & Hadda Hammouche

  2. Laboratory of Mathematics, University of Sidi Bel-Abbès, 22000, Sidi Bel-Abbès, Algeria

    Abdelkrim Salim & Mouffak Benchohra

  3. Faculty of Technology, Hassiba Benbouali University, 02000, Chlef, Algeria

    Abdelkrim Salim

Authors
  1. Ibtissem Hammoumi
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  2. Hadda Hammouche
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  3. Abdelkrim Salim
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  4. Mouffak Benchohra
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The study was carried out in collaboration of all authors. All authors read and approved the final manuscript.

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Correspondence to Abdelkrim Salim.

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Hammoumi, I., Hammouche, H., Salim, A. et al. Mild solutions for impulsive fractional differential inclusions with Hilfer derivative in Banach spaces. Rend. Circ. Mat. Palermo, II. Ser 73, 637–650 (2024). https://doi.org/10.1007/s12215-023-00944-x

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  • DOI: https://doi.org/10.1007/s12215-023-00944-x

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