Delayed Fractional Discrete Sine and Cosine Matrix Functions and Their Applications to Linear Fractional Delayed Difference Oscillating Systems
| dc.authorwosid | Aydin, Mustafa/Abd-6124-2020 | |
| dc.authorwosid | Mahmudov, Nazim/G-4029-2013 | |
| dc.contributor.author | Aydin, Mustafa | |
| dc.contributor.author | Mahmudov, Nazim I. | |
| dc.date.accessioned | 2025-12-30T16:04:45Z | |
| dc.date.available | 2025-12-30T16:04:45Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Aydin, Mustafa] Van Yuzuncu Yil Univ, Muradiye Vocat Sch, Dept Med Serv & Tech, Tusba, Turkiye; [Mahmudov, Nazim I.] Eastern Mediterranean Univ, Dept Math, Mersin, Turkiye | en_US |
| dc.description.abstract | The fractional discrete retarded cosine and sine matrix functions are defined for the first time in the current paper, and some of their relations are discussed. The variation of constants technique is exploited to obtain an exact analytical form of a general solution to the Cauchy type problem for the linear Riemann-Liouville fractional discrete retarded difference system of order 1 < 2 alpha <= 2 with the noncommutative coefficient matrices. Novel special cases are theoretically presented. In addition, numerical and simulated examples are given to illustrate all of the obtained results. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1216/rmj.2025.55.1195 | |
| dc.identifier.endpage | 1211 | en_US |
| dc.identifier.issn | 0035-7596 | |
| dc.identifier.issn | 1945-3795 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 1195 | en_US |
| dc.identifier.uri | https://doi.org/10.1216/rmj.2025.55.1195 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/29284 | |
| dc.identifier.volume | 55 | en_US |
| dc.identifier.wos | WOS:001615695500001 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Rocky Mt. Math Consortium | en_US |
| dc.relation.ispartof | Rocky Mountain Journal of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Delayed Difference System | en_US |
| dc.subject | Discrete Delayed Sine and Cosine Matrices | en_US |
| dc.subject | Representation of Solution | en_US |
| dc.title | Delayed Fractional Discrete Sine and Cosine Matrix Functions and Their Applications to Linear Fractional Delayed Difference Oscillating Systems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article |