Some results on fractional Hahn difference boundary value problems

• Autorzy: Baheeg Elsaddam A. , Oraby Karima M. , Akel Mohamed S.

Identyfikatory

DOI

10.1515/dema-2022-0247

• Języki publikacji: EN

Abstrakty

EN

Fractional Hahn boundary value problems are significant tools to describe mathematical and physical phenomena depending on non-differentiable functions. In this work, we develop certain aspects of the theory of fractional Hahn boundary value problems involving fractional Hahn derivatives of the Caputo type. First, we construct the Green function for an αth-order fractional boundary value problem, with 1<α<2, and discuss some important properties of the Green function. The solutions to the proposed problems are obtained in terms of the Green function. The uniqueness of the solutions is proved by various fixed point theorems. The Banach’s contraction mapping theorem, the Schauder’s theorem, and the Browder’s theorem are used.

Słowa kluczowe

EN

fractional Hahn difference operator; fractional Hahn integral; boundary value problem; Green function; existence theorem; uniqueness theorem

PL

zagadnienie brzegowe; funkcja Greena; twierdzenie o istnieniu; twierdzenie jednoznaczności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220247
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Baheeg Elsaddam A.

• Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

autor

Oraby Karima M.

• Department of Mathematics, Faculty of Science, Suez University, Suez, Egypt

autor

Akel Mohamed S.

• Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).