On the Fixed Point Theorem for Large Contraction Mappings With Applications To Delay Fractional Differential Equations
| dc.authorscopusid | 56242035900 | |
| dc.authorscopusid | 59157836600 | |
| dc.authorscopusid | 36154690100 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 8721755000 | |
| dc.contributor.author | Mesmouli, M.B. | |
| dc.contributor.author | Akın, E. | |
| dc.contributor.author | Iambor, L.F. | |
| dc.contributor.author | Tunç, O. | |
| dc.contributor.author | Hassan, T.S. | |
| dc.date.accessioned | 2025-05-10T16:55:06Z | |
| dc.date.available | 2025-05-10T16:55:06Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Mesmouli M.B., Department of Mathematics, College of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia; Akın E., Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, 65401, MO, United States; Iambor L.F., Department of Mathematics and Computer Science, University of Oradea, Oradea, 410087, Romania; Tunç O., Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University Campus, Van, 65080, Turkey; Hassan T.S., Department of Mathematics, College of Science, University of Ha’il, Ha’il, 2440, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt, Jadara University Research Center, Jadara University, Irbid, 21110, Jordan | en_US |
| dc.description.abstract | This paper explores a new class of mappings and presents several fixed-point results for these mappings. We define these mappings by combining well-known mappings in the literature, specifically the large contraction mapping and Chatterjea’s mapping. This combination allows us to achieve significant fixed-point results in complete metric spaces, both in a continuous and a non-continuous sense. Additionally, we provide an explicit example to validate our findings. Furthermore, we discuss a general model for fractional differential equations using the Caputo derivative. Finally, we outline the benefits of our study and suggest potential areas for future research. © 2024 by the authors. | en_US |
| dc.description.sponsorship | University of Oradea | en_US |
| dc.identifier.doi | 10.3390/fractalfract8120703 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85213443244 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract8120703 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/3377 | |
| dc.identifier.volume | 8 | en_US |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Multidisciplinary Digital Publishing Institute (MDPI) | en_US |
| dc.relation.ispartof | Fractal and Fractional | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.subject | Chatterjea’S Map | en_US |
| dc.subject | Complete Metric Space | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Large Contraction | en_US |
| dc.title | On the Fixed Point Theorem for Large Contraction Mappings With Applications To Delay Fractional Differential Equations | en_US |
| dc.type | Article | en_US |