{
  "abstract": "In this paper, we investigate further properties of bounded continuous functions that behave like almost automorphic functions at infinity. We then apply the results to study the existence and uniqueness of mild solutions to some fractional differential equations involving the ψ-Hilfer derivative in Banach spaces. We use some new properties of the two-parameter Mittag-Leffler function the Banach's fixed point principle to achieve our results. This work is new in the context of evolution equations governed by the ψ-Hilfer derivative.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Adama Kabore"
    },
    {
      "name": "Pihiré Vincent Ouena"
    },
    {
      "name": "Moumini Kéré"
    },
    {
      "name": "Gaston Mandata N'Guérékata"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7e9rxcmxbt35y.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "7e9rxcmxbt35y",
  "issns": [],
  "landing_url": "https://hal.science/hal-05762642v1",
  "language": "en",
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05762642/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7e9rxcmxbt35y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05762642",
      "source": "hal",
      "url": "https://hal.science/hal-05762642v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Asymptotic behavior of bounded Mild Solutions to some fractional differential equations involving the $\\psi$-Hilfer derivative",
  "title_text": "Asymptotic behavior of bounded Mild Solutions to some fractional differential equations involving the ψ-Hilfer derivative",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:40Z",
  "url": "https://research.draconitic.com/paper/7e9rxcmxbt35y",
  "venue": "HAL",
  "versions": []
}