A Generalized System of Fractional Differential Equations of Beam Type: Existence of Solutions and Stability
| dc.authorscopusid | 57194135909 | |
| dc.authorscopusid | 23033561500 | |
| dc.authorscopusid | 57216616374 | |
| dc.authorscopusid | 16319225300 | |
| dc.authorwosid | Ibrahim, Rabha/D-3312-2017 | |
| dc.authorwosid | Dahmani, Zoubir/Hji-7850-2023 | |
| dc.contributor.author | Anber, A. | |
| dc.contributor.author | Dahmani, Z. | |
| dc.contributor.author | Gouari, Y. | |
| dc.contributor.author | Ibrahim, R.W. | |
| dc.date.accessioned | 2024-10-15T20:23:41Z | |
| dc.date.available | 2024-10-15T20:23:41Z | |
| dc.date.issued | 2024 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Anber A., Department of Mathematics, University of Science and Technology of Oran Mohamed-Boudiaf, Oran, Algeria; Dahmani Z., Laboratory of LAMDA-RO, University of BLIDA 1, Blida, Algeria; Gouari Y., Laboratory of Pure and Applied Mathematics, Faculty SEI, Universidade Abdelhamid Ibn Badis de Mostaganem, Algeria; Ibrahim R.W., Istanbul Okan University, Faculty of Engineering and Natural Sciences, Advanced Computing Lab, Türkiye, Information and Communication Technology Research Group, Scientific Research Center, Al-Ayen University, Thi-Qar, Iraq | en_US |
| dc.description.abstract | We study the existence of solutions and their Ulam-stability for a coupled system of nonlinear fractional differential equations. The fractional calculus is used by assuming the Caputo fractional derivative, which indicates a good record for applications. Our method is based on the theory of fixed points. As a consequence, two main theorems on the existence of solutions are proved. Some examples are provided to illustrate the applications of the obtained results. Another main result of Ulam-Hyers stability of the solutions of the system is also discussed. © 2024, Tsing Hua University. All rights reserved. | en_US |
| dc.identifier.citation | 0 | |
| dc.identifier.citationcount | 0 | |
| dc.identifier.endpage | 557 | en_US |
| dc.identifier.issn | 1607-2510 | |
| dc.identifier.scopus | 2-s2.0-85210246366 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 540 | en_US |
| dc.identifier.volume | 24 | en_US |
| dc.identifier.wos | WOS:001414170500018 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | |
| dc.language.iso | en | en_US |
| dc.publisher | Tsing Hua University | en_US |
| dc.relation.ispartof | Applied Mathematics E - Notes | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 1 | |
| dc.title | A Generalized System of Fractional Differential Equations of Beam Type: Existence of Solutions and Stability | en_US |
| dc.type | Article | en_US |