A cotangent fractional Gronwall inequality with applications

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dc.contributor.authorSadek, Lakhlifa
dc.contributor.authorAkgul, Ali
dc.contributor.authorBataineh, Ahmad Sami
dc.contributor.authorHashim, Ishak
dc.date.accessioned2024-12-24T19:34:02Z
dc.date.available2024-12-24T19:34:02Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article presents the cotangent fractional Gronwall inequality, a novel understanding of the Gronwall inequality within the context of the cotangent fractional derivative. We furnish an explanation of the cotangent fractional derivative and emphasize a selection of its distinct characteristics before delving into the primary findings. We present the cotangent fractional Gronwall inequality (Lemma 3.1) and a Corollary 3.2 using the Mittag-Leffler function, we establish singularity and compute an upper limit employing the Mittag-Leffler function for solutions in a nonlinear delayed cotangent fractional system, illustrating its practical utility. To underscore the real -world relevance of the theory, a tangible instance is given.
dc.description.sponsorshipUniversiti Kebangsaan Malaysia [DIP-2021-018, GP-K006388]
dc.description.sponsorshipAcknowledgments This research was funded by Universiti Kebangsaan Malaysia, grant number DIP-2021-018 and GP-K006388.
dc.identifier.doi10.3934/math.2024380
dc.identifier.endpage7833
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85185701250
dc.identifier.scopusqualityQ1
dc.identifier.startpage7819
dc.identifier.urihttps://doi.org/10.3934/math.2024380
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8397
dc.identifier.volume9
dc.identifier.wosWOS:001171222200003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectcotangent fractional derivative
dc.subjectdelay cotangent fractional equation
dc.subjectcotangent fractional Gronwall inequality
dc.subjectbound for the solution
dc.subjectuniqueness of solution
dc.titleA cotangent fractional Gronwall inequality with applications
dc.typeArticle

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