A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system

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dc.contributor.authorAwadalla, Muath
dc.contributor.authorMahmudov, Nazim I.
dc.contributor.authorAlahmadi, Jihan
dc.date.accessioned2026-02-06T18:35:52Z
dc.date.issued2024
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, a delayed discrete Mittag-Leffler matrix function generated by two noncommutative square matrices is introduced. Utilizing this function, the paper establishes an explicit expression for solving constant delay fractional difference systems. Additionally, a criterion for determining the Ulam-Hyers stability of delay fractional difference systems with constant coefficients is derived using the aforementioned explicit representation formula.
dc.description.sponsorshipDeanship of Scientific Research, Prince Sattam bin Abdulaziz University [PSAU/2023/R/1445]; Prince Sattam bin Abdulaziz University
dc.description.sponsorshipThis study is supported via funding from Prince Sattam bin Abdulaziz University, project number (PSAU/2023/R/1445).
dc.identifier.doi10.1007/s12190-024-02012-8
dc.identifier.endpage1599
dc.identifier.issn1598-5865
dc.identifier.issn1865-2085
dc.identifier.issue2
dc.identifier.orcid0000-0002-6447-6361
dc.identifier.scopus2-s2.0-85186587838
dc.identifier.scopusqualityQ1
dc.identifier.startpage1571
dc.identifier.urihttps://doi.org/10.1007/s12190-024-02012-8
dc.identifier.urihttps://hdl.handle.net/11129/12098
dc.identifier.volume70
dc.identifier.wosWOS:001173458700002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectDiscrete delayed perturbation
dc.subjectFractional difference system
dc.subjectNabla discrete Mittag-Leffler function
dc.subjectTime-delay
dc.titleA novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system
dc.typeArticle

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