On the Equivalence between Differential and Integral Forms of Caputo-Type Fractional Problems on Hölder Spaces

As claimed in many papers, the equivalence between the Caputo-type fractional differential problem and the corresponding integral forms may fail outside the spaces of absolutely continuous functions, even in Hölder spaces. To avoid such an equivalence problem, we define a “new” appropriate fractiona...

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Bibliographische Detailangaben
Hauptverfasser: Mieczysław Cichoń, Hussein A. H. Salem, Wafa Shammakh
Format: Artikel
Sprache:English
Veröffentlicht: MDPI AG 2024-08-01
Schriftenreihe:Mathematics
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Online Zugang:https://www.mdpi.com/2227-7390/12/17/2631