On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory-Reference-Cited by-同舟云学术

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

Published:2022 Issue:1 Volume:8 Page:1455-1474
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Choucha Omar¹,Amara Abdelkader¹,Etemad Sina²,Rezapour Shahram²³,Torres Delfim F. M.⁴,Botmart Thongchai⁵

Affiliation:

1. Laboratory of Applied Mathematics, University of Kasdi Merbah, Ouargla 30000, Algeria

2. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

4. Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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