Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order (1,2] with nonlocal boundary conditions

In this paper, the authors have proposed the qualitative properties for the solution of the Hilfer implicit fractional differential equations (HIFDE) of order 1

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2024-03, Vol.191, p.103401, Article 103401
Main Authors: Dhawan, Kanika, Vats, Ramesh Kumar, Nain, Ankit Kumar, Shukla, Anurag
Format: Article
Language:English
Subjects:
Existence and uniqueness
Fractional differential equations
Hilfer fractional derivative
Implicit
Nonlocal
Ulam-Hyers stability
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Summary:In this paper, the authors have proposed the qualitative properties for the solution of the Hilfer implicit fractional differential equations (HIFDE) of order 1
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2024.103401