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Title
On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory
Type of Research Article
Keywords
discrete fractional operators; stability; existence results; Banach principle
Abstract
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. Moreover, we prove stability, including Hyers-Ulam and Hyers-Ulam-Rassias type results. Finally, some numerical models are provided to illustrate and validate the theoretical results.
Researchers Omar Choucha (First Researcher)، Abdelkader Amara (Second Researcher)، Sina Etemad (Third Researcher)، Shahram Rezapour (Fourth Researcher)، Delfim F.M. Torres (Fifth Researcher)، Thongchai Botmart (Not In First Six Researchers)