DELAYED FRACTIONAL DISCRETE SINE AND COSINE MATRIX FUNCTIONS AND THEIR APPLICATIONS TO LINEAR FRACTIONAL DELAYED DIFFERENCE OSCILLATING SYSTEMS

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dc.contributor.authorAydin, Mustafa
dc.contributor.authorMahmudov, Nazim I.
dc.date.accessioned2026-02-06T18:53:11Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThe 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.
dc.identifier.doi10.1216/rmj.2025.55.1195
dc.identifier.endpage1211
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue5
dc.identifier.scopusqualityQ3
dc.identifier.startpage1195
dc.identifier.urihttps://doi.org/10.1216/rmj.2025.55.1195
dc.identifier.urihttps://hdl.handle.net/11129/15855
dc.identifier.volume55
dc.identifier.wosWOS:001615695500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherRocky Mt Math Consortium
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectfractional delayed difference system
dc.subjectdiscrete delayed sine and cosine matrices
dc.subjectrepresentation of solution
dc.titleDELAYED FRACTIONAL DISCRETE SINE AND COSINE MATRIX FUNCTIONS AND THEIR APPLICATIONS TO LINEAR FRACTIONAL DELAYED DIFFERENCE OSCILLATING SYSTEMS
dc.typeArticle

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