Alzabut, Jehad and Selvam, A. George Maria and Dhineshbabu, R. and Kaabar, Mohammed K. A. (2021) The existence, uniqueness, and stability analysis of the discrete fractional three-point boundary value problem for the elastic beam equation. Symmetry, 13 (5). ISSN 2073-8994, DOI https://doi.org/10.3390/sym13050789.
Full text not available from this repository.Abstract
An elastic beam equation (EBEq) described by a fourth-order fractional difference equation is proposed in this work with three-point boundary conditions involving the Riemann-Liouville fractional difference operator. New sufficient conditions ensuring the solutions' existence and uniqueness of the proposed problem are established. The findings are obtained by employing properties of discrete fractional equations, Banach contraction, and Brouwer fixed-point theorems. Further, we discuss our problem's results concerning Hyers-Ulam (HU), generalized Hyers-Ulam (GHU), Hyers-Ulam-Rassias (HUR), and generalized Hyers-Ulam-Rassias (GHUR) stability. Specific examples with graphs and numerical experiment are presented to demonstrate the effectiveness of our results.
| Item Type: | Article |
|---|---|
| Funders: | Prince Sultan University |
| Uncontrolled Keywords: | Riemann-Liouville fractional difference operator; Boundary value problem; Discrete fractional calculus; Existence and uniqueness; Ulam stability; Elastic beam problem |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 08 Apr 2022 02:59 |
| Last Modified: | 08 Apr 2022 02:59 |
| URI: | http://eprints.um.edu.my/id/eprint/26676 |
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