Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems

Abstract In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function. This concept follows the idea of Stieltjes-type operators and should allow us to study fractional integrals using methods known from...

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Bibliographic Details
Main Authors: Hussein A. H. Salem, Mieczysław Cichoń, Wafa Shammakh
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01745-y