On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory

We prove existence and uniqueness of solutions to discrete fractional equations that involve Riemann-Liouville and Caputo fractional derivatives with three-point boundary conditions. The results are obtained by conducting an analysis via the Banach principle and the Brouwer fixed point criterion. Mo...

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Bibliographic Details
Main Authors: Omar Choucha, Abdelkader Amara, Sina Etemad, Shahram Rezapour, Delfim F. M. Torres, Thongchai Botmart
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
discrete fractional operators
stability
existence results
banach principle
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023073?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023073?viewType=HTML

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